Main publications:

1. Minimal permutation representations of finite simple orthogonal groups

   Mazurov V.D. and Vasil'ev A.V.

   Algebra and Logic, 1994, Vol. 33, N 6, 337-350  [pdf].

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2. Minimal permutation representations of finite simple exceptional groups of types G_2 and F_4

   Vasil'ev A.V.

   Algebra and Logic, 1996, Vol. 35, N 6, 371-383 [pdf].
   

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3. Minimal permutation representations of finite simple exceptional groups of types E_6, E_7 and E_8

   Vasil'ev A.V.

   Algebra and Logic, 1997, Vol. 36, N 5, 302-310 [pdf].
   

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4. Minimal permutation representations of finite simple exceptional twisted groups

   Vasil'ev A.V.

   Algebra and Logic, 1998, Vol. 37, N 1, 9-20 [pdf].
   

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5. Recognition of groups G_2(3^n) by their element orders

   Vasil'ev A.V.

   Algebra and Logic, 2002, Vol. 41, N 2, 74-80 [pdf].
   

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6. On recognition of the finite simple orthogonal groups of dimension 2^m, 2^m+1 and 2^m+2 over a field of characteristic 2

   Vasil'ev A.V and Grechkoseeva M.A.

   Sib. Math. J., 2004, Vol. 45, N 3, 420-432  [pdf].
   

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7. Recognition of the finite simple groups F_4(2^m) by spectrum

   Cao H.P., Chen G., Greckoseeva M.A., Mazurov V.D., Shi W.J., and Vasil'ev A.V.

   Sib. Math. J.., 2004, Vol. 45, N 6, 1031-1035 [pdf].
   

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8. On recognition of all finite nonabelian simple groups with orders having prime divisors at most 13

   Vasil'ev A.V.

   Sib. Math. J., 2005, Vol. 46, N 2, 246-253 [pdf].
   

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9. On connection between the structure of a finite group and the properties of its prime graph

   Vasil'ev A.V.

   Sib. Math. J., 2005, Vol. 46, N 3, 396-404 [pdf].
   

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10. On recognition by spectrum of finite simple linear groups over fields of characteristic 2

    Vasil'ev A.V. and Grechkoseeva M.A.

    Sib. Math. J., 2005, Vol. 46, N 4, 593-600 [pdf].
    

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11. An adjacency criterion for the prime graph of a finite simple group

    Vasil'ev A.V. and Vdovin E.P.

    Algebra and Logic, 2005, Vol. 44, N 6, 381-406 arXiv [pdf].

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12. On recognition of the projective special linear groups over the binary field

    Grechkoseeva M.A., Lucido M.S., Mazurov V.D., Moghaddamfar A.R., and Vasil'ev A.V.

    Sib. El. Math.Rep., 2005, Vol. 2, 253-263 SEMR [pdf].

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13. Recognition of the finite almost simple groups PGL_2(q) by their spectrum

    Chen G.Y., Mazurov V.D., Shi W.J., Vasil'ev A.V., and Zhurtov A.Kh.

    J. Group Theory, 2007, Vol. 10, 71-85 [pdf].

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14. Recognition by spectrum of L_16(2^m)

    Grechkoseeva M.A., Shi W.J., and Vasil'ev A.V.

    Algebra Colloq., 2007, Vol. 14, N 4, 585-591 [pdf].

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15. Recognition by spectrum of finite simple groups of Lie type

    Grechkoseeva M.A., Shi W.J., and Vasil'ev A.V.

    Front. Math. China, 2008, Vol. 3, N 2, 275-285 [pdf].

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16. Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2

    Grechkoseeva M.A. and Vasil'ev A.V.

    Algebra and Logic, 2008, Vol. 47, N 5, 314-320 [pdf].

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17. On recognition of finite simple groups with connected prime graph

    Vasil'ev A.V. and Gorshkov I.B.

    Sib. Math. J., 2009, Vol. 50, N 2, 233-238 [pdf].

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18. On recognition by spectrum of finite simple groups of types B_n, C_n, and 2^D_n with n=2k

    Vasil'ev A.V., Gorshkov I.B., Grechkoseeva M.A., Kondrat'ev A.S., and Staroletov A.M.

    Proc. Steklov Inst. Math., 2009, Suppl. 3, S218-S233 [pdf].

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19. On finite groups isospectral to symplectic and orthogonal groups

    Vasil'ev A.V., Grechkoseeva M.A., and Mazurov V.D.

    Sib. Math. J., 2009, Vol. 50, N 6, 965-981 [pdf].

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20. Characterization of the finite simple groups by spectrum and order

    Vasil'ev A.V., Grechkoseeva M.A., and Mazurov V.D.

    Algebra and Logic, 2009, Vol. 48, N 6, 385-409 [pdf].

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21. On Thompson's Conjecture

    Vasil'ev A.V.

    Sib. El. Math. Rep., 2009, Vol. 6, 457-464 SEMR [pdf].

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22. Recognizability of the finite simple groups by spectrum and order

    Vasil'ev A.V., Grechkoseeva M.A., and Mazurov V.D.

    Doklady Mathematics, 2010, Vol. 81, N 2, 216-218 [pdf].

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23. On finite groups isospectral to linear and unitary groups

    Vasil'ev A.V., Grechkoseeva M.A., and Staroletov A.M.

    Sib. Math. J., 2011, Vol. 52, N 1, 30-40 [pdf].

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24. Cocliques of maximal size in the prime graph of a finite simple group

    Vasil'ev A.V. and Vdovin E.P.

    Algebra and Logic, 2011, Vol. 50, N 4. 291-322 arXiv [pdf].

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25. Recognizability of groups G_2(q) by spectrum

    Vasil'ev A.V. and Staroletov A.M.

    Algebra and Logic, 2013, Vol. 52, N 1, 1-14 [pdf].

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26. Locally finite groups with bounded cenralizer chains

    Buturlakin A.A. and Vasil'ev A.V.

    Algebra and Logic, 2013, Vol. 52, N 5, 367-370   arXiv [pdf].

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27. On non-abelian Schur groups

    Ilya Ponomarenko and Andrey Vasil'ev

    J. Algebra Appl., 2014, Vol. 13, N 8, 1450055 (22 pages) arXiv [pdf].

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28. On constructive recognition of finite simple groups by element orders 

    Buturlakin A.A. and Vasil'ev A.V.

    Algebra and Logic, 2014, Vol. 53, N 4, 349-351   [pdf].

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29. Almost recognizability by spectrum of simple exceptional groups of Lie type

    Vasil'ev A.V. and Staroletov A.M.

    Algebra and Logic, 2014, Vol. 53, N 6, 433-449 arXiv [pdf].

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30. On finite groups isospectral to simple classical groups

    Vasil'ev A.V.

    J. Algebra, 2015, Vol. 423, 318-374  arXiv [pdf].

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31. On the structure of finite groups isospectral to finite simple groups

     Grechkoseeva M.A. and Vasil'ev A.V.

    J. Group Theory, 2015, Vol. 18, N 5, 741-759 arXiv [pdf].

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32. Recognition by spectrum for simple classical groups in characteristic 2

    Vasil'ev A.V. and Grechkoseeva M.A.

    Sib. Math. J., 2015, Vol. 56, N 6, 1009-1008 [pdf].
    

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33. On  L.G.  Kovacs' problem

    Vasil'ev A.V. and Skresanov S.V.

    Algebra and Logic, 2016, Vol. 55, N 4, 340-344 arXiv [pdf].

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34. Automorphism groups of cyclotomic schemes over finite near-fields

    Churikov D.V. and Vasil'ev A.V.

    Sib. El. Math. Rep., 2016, Vol. 13, 1271-1282 SEMR [pdf].

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35. Cartan coherent configurations

    Ilya Ponomarenko and Andrey Vasil'ev

    J. Algebraic Combinatorics, 2017, Vol. 45, 525-552 arXiv [pdf].

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36. Testing isomorphism of central Cayley graphs over almost simple groups in polynomial time

    Ilya Ponomarenko and Andrey Vasil'ev

    Zapiski Nauchnykh Seminarov POMI, 2017, Vol. 455, 154-180;

    Journal of Math. Sciences, 2018, Vol. 234, N 2, 219-236 arXiv [pdf].

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37. Groups with bounded centralizer chains and the Borovik-Khukhro conjecture

    A.A. Buturlakin, D.O. Revin, and A.V. Vasil'ev

    J. Group Theory, 2018, Vol. 21 N 6, 1095-1110 arXiv [pdf].

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38. 2-Closure of 3/2-transitive group in polynomial time

    A.V. Vasil'ev and D.V. Churikov

    Sib. Math. J., 2019, Vol. 60 N 2, 279-290 arXiv [pdf].

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39. On recognition of symplectic and orthogonal groups of small dimensions by spectrum

    Grechkoseeva M.A., Vasil'ev A.V., and Zvezdina M.A.

    J. Algebra Appl., 2019, Vol. 18,  no. 12, 1950230 [33 pages] arXiv [pdf].

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40. The graph of atomic divisors and recognition of finite simple groups

    A.A. Buturlakin and A.V. Vasil'ev

    J. Algebra, 2019,Vol. 537, 478--502 arXiv [pdf].

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41. What do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common?

    Brusyanskaya E.K., Klyachko A.A., and Vasil'ev A.V.

    Pacific J. Math., 2019, Vol. 302, no. 2, 437-452 arXiv [pdf].

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42. Simple Groups Whose Prime Graph or Solvable Graph is Split

    Mark L. Lewis, J. Mirzajani, A. R. Moghaddamfar, A. V. Vasil'ev, and M. A. Zvezdina

    Bull. Malays. Math. Sci. Soc, 2020, Vol. 43, no. 3, 2523-2547 arXiv [pdf].

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43. On the nilpotency of the solvable radical of a finite group isospectral to a simple group

    Yang N., Grechkoseeva M.A., and Vasil'ev A.V.

    J. Group Theory, 2020, Vol. 23, no. 3, 447-470  arXiv [pdf].

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44. Factoring nonabelian finite groups into two subsets 

    Ravil Bildanov, Vadim Goryachenko, and Andrey V. Vasil'ev

    Sib. El. Math. Rep., 2020, Vol. 17, 683-689 arXiv [pdf] [prog] [log].

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45. The Wielandt-Hartley theorem for submaximal X-subgroups

    Danila Revin, Saveliy Skresanov, and Andrey Vasil'ev

    Monatshefte Math., 2020, Vol. 193, 143-155 arXiv [pdf].

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46. Two-closure of supersolvable permutation group in polynomial time

    Ilia Ponomarenko and Andrey Vasil'ev

    Comp. Complexity, 2020 Vol. 29, 5 (33 pages)  arXiv [pdf].

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47. Higher Algebra: Lecture Notes [in Russian]

    A.V. Vasil'ev, D.V. Lytkina, V.D. Mazurov

    Sobolev Institute Press, Novosibirsk, 2020, (252 pages)  [pdf].

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48. A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers

    Gang Chen, Jiawei He, Ilia Ponomarenko, and Andrey Vasil'ev

    Ars Math. Contemp, 2021 Vol. 21, P1.10 (18 pages) arXiv [pdf].

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49. The closures of wreath products in product action

    Ilia Ponomarenko and Andrey V. Vasil'ev  

    Algebra and Logic, 2021, Vol. 60, no. 3, 188-195  arXiv [pdf].

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50. Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes

    Andrey Vasil'ev and Paul-Hermann Zieschang

    J. Algebra, 2022, Vol. 594, 733-750  arXiv [pdf].

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51. The 3-closure of a solvable permutation group is solvable

    E.A. O'Brien, I. Ponomarenko, A.V. Vasil'ev, and E. Vdovin

    J. Algebra, 2022, Vol. 607, 618-637 arXiv [pdf].

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52. On the prime graph of a finite group with unique nonabelian composition factor

    Grechkoseeva M.A. and Vasil'ev A.V.

    Comm. Algebra, 2022, Vol. 50, no. 8, 3447-3452 arXiv [pdf].

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53. The size of a minimal generating set for primitive 3/2-transitive groups

    Vasil'ev A.V., Zvezdina M.A., Churikov D.V. 

    Sib. Math. J., 2022, Vol. 63, no. 6, 1041-1048 arXiv [pdf].

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54. A criterion for nonsolvability of a finite group and recognition of direct squares of simple groups

    Wang Zh., Vasil'ev A.V., Grechkoseeva M.A., and Zhurtov A.Kh. 

     Algebra and Logic, 2022, Vol. 61, no. 4, 288-300  arXiv [pdf].

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55. On Cayley representations of central Cayley graphs over almost simple groups

    Jin Guo, Wenbin Guo, Grigory Ryabov, and Andrey V. Vasil'ev 

    J. Algebraic Combin., 2023, Vol. 57, no. 1, 227-237 arXiv [pdf].

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56. Finite groups isospectral to simple groups

    Grechkoseeva M.A., Mazurov V.D., Shi W., Vasil'ev A.V., and Yang N. 

    Commun. Math. Stat., 2023, Vol. 11, no. 2, 169-194 arXiv [pdf].

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57. On embedding theorems for X-subgroups

    Wenbin Guo, Danila O. Revin, and Andrey V. Vasil'ev

    Arch. Math., 2023, Vol.121, 11-21 arXiv [pdf].

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58. On recognition of direct powers of finite simple linear groups by spectrum

    Yang N., Gorshkov I.B., Staroletov A.M., and Vasil'ev A.V.

    Ann. Mat. Pura Appl., 2023, Vol. 202, 2699-2714 arXiv [pdf].

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59. On p-index extremal groups

    Andrey V. Vasil'ev, Ilya B. Gorshkov 

    Algebra and Logic, 2023, Vol. 62, no. 1, 94-99 arXiv [pdf].

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60. On computing the closures of solvable permutation groups

    Ilia Ponomarenko and Andrey V. Vasil'ev  

    Internat. J. Algebra Comput., 2024, Vol. 34, no. 1, 137-145 arXiv [pdf].

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61. On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups

    Tao Li, Ali Reza Moghaddamfar, Andrey V. Vasil'ev, Zhigang Wang 

    Ricerche Mat., 2024  arXiv [pdf].

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