Wreath products of the groups of monotone permutations

被引：0
|
作者：
A. V. Zenkov
机构：
[1] Altaĭ Agricultural State University,
来源：
Siberian Mathematical Journal | 2011年 / 52卷
关键词：
-group; representation; -congruence; wreath product;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce the concept of wreath product of the m-groups of permutations and prove that an m-transitive group of permutations with an m-congruence is embeddable into the wreath product of the suitable m-transitive m-groups of permutations. This implies that an arbitrary m-transitive group in the product of two varieties of m-groups embeds into the wreath product of the suitable m-transitive groups of these varieties.
引用
收藏
页码：1003 / 1008
页数：5
相关论文
共 50 条
  • [21] RESTRICTED SUBGROUPS OF WREATH PRODUCTS OF GROUPS
    HOUGHTON, CH
    [J]. COMPOSITIO MATHEMATICA, 1976, 33 (02) : 209 - 225
  • [22] On Automorphism Groups of Deleted Wreath Products
    Dobson, Ted
    Miklavic, Stefko
    Sparl, Primoz
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (06)
  • [23] On Automorphism Groups of Deleted Wreath Products
    Ted Dobson
    Štefko Miklavič
    Primož Šparl
    [J]. Mediterranean Journal of Mathematics, 2019, 16
  • [24] Powers in wreath products of finite groups
    Kundu, Rijubrata
    Mondal, Sudipa
    [J]. JOURNAL OF GROUP THEORY, 2022, 25 (05) : 941 - 964
  • [25] Unrestricted wreath products and sofic groups
    Arzhantseva, Goulnara
    Berlai, Federico
    Finn-Sell, Martin
    Glebsky, Lev
    [J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019, 29 (02) : 343 - 355
  • [26] On wreath products of groups, semigroups and algebras
    Alahmadi, Adel
    Alsulami, Hamed
    Jain, S. K.
    Zelmanov, Efim
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (05)
  • [27] On the embedding of Galois groups into wreath products
    Barquero-Sanchez, Adrian
    Calvo-Monge, Jimmy
    [J]. COMMUNICATIONS IN ALGEBRA, 2024,
  • [28] CLT GROUPS AND WREATH-PRODUCTS
    BRANDL, R
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1987, 42 : 183 - 195
  • [29] Generalized Wreath Products of Graphs and Groups
    Alfredo Donno
    [J]. Graphs and Combinatorics, 2015, 31 : 915 - 926
  • [30] WREATH PRODUCTS OF ORDERED PERMUTATION GROUPS
    HOLLAND, WC
    MCCLEARY, SH
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1969, 31 (03) : 703 - &
12345