On groups with Frobenius elements

被引：1
|
作者：
Popov, A. M. [1 ]
Sozutov, A. I. [2 ]
机构：
[1] Siberian State Aerosp Univ, Siberian Fed Univ, Krasnoyarsk, Russia
[2] Siberian State Aerosp Univ, Krasnoyarsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2015年 / 56卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Frobenius group; system of Frobenius subgroups; H-Frobenius element; ABELIAN GROUP; AUTOMORPHISMS;
D O I：
10.1134/S0037446615020147
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find the conditions under which the set-theoretic union of the kernels of two-generated Frobenius subgroups of a group G with fixed cyclic complement of order 3n is a normal subgroup in G.
引用
收藏
页码：352 / 357
页数：6
相关论文
共 50 条
  • [41] A COMPARISON OF THE ORDER COMPONENTS IN FROBENIUS AND 2-FROBENIUS GROUPS WITH FINITE SIMPLE GROUPS
    Moghaddamfar, A. R.
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (01): : 67 - 89
  • [42] Frobenius-like groups as groups of automorphisms
    Ercan, Gulin
    Guloglu, Ismail Suayip
    Khukhro, Evgeny
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2014, 38 (06) : 965 - 976
  • [43] Nilpotency of finite groups with Frobenius groups of automorphisms
    Khukhro, E. I.
    Shumyatsky, P.
    [J]. MONATSHEFTE FUR MATHEMATIK, 2011, 163 (04): : 461 - 470
  • [44] ON GROUPS WITH INVOLUTIONS SATURATED BY FINITE FROBENIUS GROUPS
    Durakov, B. E.
    Sozutov, A. I.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (06) : 1075 - 1082
  • [45] GROUPS AND LIE RINGS WITH FROBENIUS GROUPS OF AUTOMORPHISMS
    Makarenko, N. Yu.
    [J]. ISCHIA GROUP THEORY 2010, 2012, : 223 - 254
  • [46] Frobenius groups of low rank
    Knapp, Wolfgang
    Schmid, Peter
    [J]. ARCHIV DER MATHEMATIK, 2021, 117 (02) : 121 - 127
  • [47] FROBENIUS GROUPS AND WEDDERBURNS THEOREM
    EBEY, S
    SITARAM, K
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (05): : 526 - &
  • [48] Nearly Rational Frobenius Groups
    Robati, S. M.
    [J]. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (01): : 191 - 194
  • [49] Frobenius groups with many involutions
    不详
    [J]. THEORY OF K-LOOPS, 2002, 1778 : 83 - 102
  • [50] Nilpotency of finite groups with Frobenius groups of automorphisms
    E. I. Khukhro
    P. Shumyatsky
    [J]. Monatshefte für Mathematik, 2011, 163 : 461 - 470
12345