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Kolesnikov Sergey Gennadievich

Publications in Math-Net.Ru

  1. On regularity of Sylow $p$-subgroups of the Chevalley group of types $F_4, E_6$ over the ring $\mathbb{Z}_{p^m}$

    Bulletin of Irkutsk State University. Series Mathematics, 51 (2025),  101–115
  2. Properties of the polarizing matrix of a polar code and calculation of Bhattacharyya parameters

    Prikl. Diskr. Mat. Suppl., 2024, no. 17,  144–147
  3. A series of short exact formulas for the Bhattacharya parameter of coordinate channels

    Prikl. Diskr. Mat. Suppl., 2023, no. 16,  134–136
  4. Series of formulas for Bhattacharyya parameters in the theory of polar codes

    Probl. Peredachi Inf., 59:1 (2023),  3–16
  5. Necessary and sufficient conditions for the regularity of the Sylow $p$-subgroups of the Chevalley groups over ${\Bbb Z}_p$ and ${\Bbb Z}_{p^2}$

    Sibirsk. Mat. Zh., 64:3 (2023),  500–520
  6. A series of formulas for Bhattacharya parameters in the theory of polar codes

    Prikl. Diskr. Mat. Suppl., 2022, no. 15,  108–109
  7. One necessary condition for the regularity of a $p$-group and its application to Wehrfritz's problem

    Sib. Èlektron. Mat. Izv., 19:1 (2022),  138–163
  8. Integral representation and the computation of multiple combinatorial sums from Hall's commutator theory

    J. Sib. Fed. Univ. Math. Phys., 14:1 (2021),  12–20
  9. The strong reality and rationality of groups of unitriangular matrices of order $\le 8$ over fields of characteristic 2

    Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  71–83
  10. On necessary conditions of regularity of Sylow $p$-subgroups of the group $GL_n(\mathbb{Z}_{p^m})$

    Bulletin of Irkutsk State University. Series Mathematics, 6:2 (2013),  18–25
  11. Derivations of a matrix ring containing a subring of triangular matrices

    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11,  23–33
  12. On the regularity Sylow's $p$-subgroups of symplectic and orthogonal groups over ring $\mathbb Z/p^m\mathbb Z$

    J. Sib. Fed. Univ. Math. Phys., 4:4 (2011),  489–497
  13. Automorphisms of Sylow $p$-subgroups of Chevalley groups over $p$-primary residue rings of integers

    Fundam. Prikl. Mat., 12:8 (2006),  121–158
  14. On rationality and 2-reflexiveness of wreath products of finite groups

    Mat. Zametki, 80:3 (2006),  395–402
  15. On the regular Sylow $p$-subgroups of Chevalley groups over $\mathbb Z_{p^m}$

    Sibirsk. Mat. Zh., 47:6 (2006),  1289–1295
  16. Rationality and strong reality for Sylow 2-subgroups of Weyl and alternating groups

    Algebra Logika, 44:1 (2005),  44–53
  17. Automorphisms of Sylow $p$-Subgroups of Chevalley Groups Defined over Residue Rings of Integers

    Algebra Logika, 43:1 (2004),  32–59
  18. Generalized congruence subgroups of the Chevalley groups

    Sibirsk. Mat. Zh., 40:2 (1999),  336–351
  19. Lower central series of Sylow $2$-subgroups of symplectic and orthogonal groups over the ring $Z_{2^m}$

    Algebra Logika, 37:4 (1998),  413–431


© Steklov Math. Inst. of RAS, 2025