GENERATORS AND RELATIONS FOR WREATH PRODUCTS

被引:5
|
作者
Drozd, Yu. A. [1 ]
Skuratovskii, R. V. [2 ]
机构
[1] Ukrainian Acad Sci, Inst Math, Kiev, Ukraine
[2] Shevchenko Kyiv Natl Univ, Kiev, Ukraine
关键词
Normal Subgroup; Cyclic Group; Natural Action; Mathematical Journal; Free Product;
D O I
10.1007/s11253-008-0114-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Generators and defining relations for wreath products of groups are given. Under a certain condition (conormality of generators), they are minimal.
引用
收藏
页码:1168 / 1171
页数:4
相关论文
共 50 条
  • [21] SUPERSOLVABLE WREATH PRODUCTS
    SCOTT, WR
    SONNEBOR.LM
    MATHEMATISCHE ZEITSCHRIFT, 1966, 92 (02) : 154 - &
  • [22] ON THE Σ-INVARIANTS OF WREATH PRODUCTS
    de Mendonca, Luis Augusto
    PACIFIC JOURNAL OF MATHEMATICS, 2019, 298 (01) : 113 - 139
  • [23] Wreath Hecke algebras and centralizer construction for wreath products
    Wan, Jinkui
    JOURNAL OF ALGEBRA, 2010, 323 (09) : 2371 - 2397
  • [24] Bounded generation of wreath products
    Nikolov, Nikolay
    Sury, B.
    JOURNAL OF GROUP THEORY, 2015, 18 (06) : 951 - 959
  • [25] Bases of twisted wreath products
    Fawcett, Joanna B.
    JOURNAL OF ALGEBRA, 2022, 607 : 247 - 271
  • [26] Knapsack Problems for Wreath Products
    Ganardi, Moses
    Koenig, Daniel
    Lohrey, Markus
    Zetzsche, Georg
    35TH SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE (STACS 2018), 2018, 96
  • [27] POLYNOMIAL FUNCTIONS AND WREATH PRODUCTS
    BUCKLEY, JT
    ILLINOIS JOURNAL OF MATHEMATICS, 1970, 14 (02) : 274 - &
  • [28] Wreath products for image processing
    Healy, DM
    Mirchandani, G
    Olson, TE
    Rockmore, DN
    1996 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, CONFERENCE PROCEEDINGS, VOLS 1-6, 1996, : 3581 - 3584
  • [29] Free wreath products with amalgamation
    Freslon, Amaury
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (01) : 72 - 94
  • [30] Wreath products of permutation classes
    Brignall, Robert
    ELECTRONIC JOURNAL OF COMBINATORICS, 2007, 14 (01):