Twisted conjugacy classes of the unit element

被引:0
|
作者
V. G. Bardakov
T. R. Nasybullov
M. V. Neshchadim
机构
[1] Sobolev Institute of Mathematics and Novosibirsk State University,
来源
关键词
endomorphism; automorphism; twisted conjugacy; twisted conjugacy class;
D O I
暂无
中图分类号
学科分类号
摘要
We study twisted conjugacy classes of the unit element in different groups. Fel’shtyn and Troitsky showed that the twisted conjugacy class of the unit element of an abelian group is a subgroup for every automorphism. The structure is investigated of a group whose twisted conjugacy class of the unit element is a subgroup for every automorphism (inner automorphism).
引用
收藏
页码:10 / 21
页数:11
相关论文
共 50 条
  • [21] Twisted conjugacy classes in saturated weakly branch groups
    Alexander Fel’shtyn
    Yuriy Leonov
    Evgenij Troitsky
    Geometriae Dedicata, 2008, 134 : 61 - 73
  • [22] Twisted conjugacy classes in saturated weakly branch groups
    Fel'shtyn, Alexander
    Leonov, Yuriy
    Troitsky, Evgenij
    GEOMETRIAE DEDICATA, 2008, 134 (01) : 61 - 73
  • [23] Twisted conjugacy classes in general and special linear groups
    T. R. Nasybullov
    Algebra and Logic, 2012, 51 : 220 - 231
  • [24] Algorithms for twisted conjugacy classes of polycyclic-by-finite groups
    Dekimpe, Karel
    Tertooy, Sam
    TOPOLOGY AND ITS APPLICATIONS, 2021, 293
  • [25] On twisted conjugacy classes of type D in sporadic simple groups
    Fantino, F.
    Vendramin, L.
    HOPF ALGEBRAS AND TENSOR CATEGORIES, 2013, 585 : 247 - +
  • [26] Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups
    Mubeena, T.
    Sankaran, P.
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2014, 57 (01): : 132 - 140
  • [27] Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups
    Fel'shtyn, Alexander
    Goncalves, Daciberg L.
    ALGEBRA & DISCRETE MATHEMATICS, 2006, (03): : 36 - 48
  • [28] A relationship between twisted conjugacy classes and the geometric invariants Ωn
    Nic Koban
    Peter Wong
    Geometriae Dedicata, 2011, 151 : 233 - 243
  • [29] A relationship between twisted conjugacy classes and the geometric invariants Ω n
    Koban, Nic
    Wong, Peter
    GEOMETRIAE DEDICATA, 2011, 151 (01) : 233 - 243
  • [30] On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups
    Jiang-Hua Lu
    Mathematische Zeitschrift, 2011, 269 : 1181 - 1188