On weak commutativity in groups

被引：12
|
作者：
Kochloukova, Dessislava [1 ,2 ]
Sidki, Said [1 ,2 ]
机构：
[1] State Univ Campinas UNICAMP, Campinas, SP, Brazil
[2] Univ Brasilia UnB, Brasilia, DF, Brazil
来源：
JOURNAL OF ALGEBRA | 2017年 / 471卷
关键词：
Group theory; Finite presentability; Weak commutativity; Homological type FPn; METABELIAN-GROUPS; FINITENESS PROPERTIES; GEOMETRIC INVARIANTS; FIBER PRODUCTS; FP-INFINITY; VALUATIONS; POWERS;
D O I：
10.1016/j.jalgebra.2016.08.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a group G we study homological and homotopical properties of the group chi(G) = < G, G(psi) vertical bar [g, g(psi)] = 1 for g is an element of G >. In particular, we show that the operator chi preserves the soluble of type FP infinity property. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：319 / 347
页数：29
相关论文
共 50 条
  • [1] Weak commutativity and finiteness properties of groups
    Bridson, Martin R.
    Kochloukova, Dessislava H.
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2019, 51 (01) : 168 - 180
  • [2] On weak commutativity in p-groups
    Bastos, Raimundo
    de Melo, Emerson
    de Oliveira, Ricardo
    Monetta, Carmine
    [J]. JOURNAL OF GROUP THEORY, 2023,
  • [3] Weak commutativity for pro-p groups
    Dessislava H. Kochloukova
    Luís Mendonça
    [J]. Monatshefte für Mathematik, 2021, 194 : 555 - 575
  • [4] Weak commutativity between two isomorphic polycyclic groups
    Lima, Bruno Cesar R.
    Oliveira, Ricardo N.
    [J]. JOURNAL OF GROUP THEORY, 2016, 19 (02) : 239 - 248
  • [5] Weak commutativity, virtually nilpotent groups, and Dehn functions
    Bridson, Martin R.
    Kochloukova, Dessislava H.
    [J]. COMMENTARII MATHEMATICI HELVETICI, 2024, 99 (01) : 1 - 37
  • [6] A generalization of weak commutativity between two isomorphic groups
    Lima, Bruno C. R.
    Sidki, Said N.
    [J]. JOURNAL OF GROUP THEORY, 2017, 20 (04) : 775 - 792
  • [7] Weak commutativity and nilpotency
    de Mendonca, Luis Augusto
    [J]. JOURNAL OF ALGEBRA, 2020, 564 : 276 - 299
  • [8] ON WEAK COMMUTATIVITY BETWEEN FINITE P-GROUPS, P-ODD
    ROCCO, NR
    [J]. JOURNAL OF ALGEBRA, 1982, 76 (02) : 471 - 488
  • [9] On commutativity of connected groups
    Bogatyi, SA
    Frolkina, OD
    [J]. SBORNIK MATHEMATICS, 2006, 197 (1-2) : 1 - 21
  • [10] Weak Commutativity in Idempotent Semirings
    F. Pastijn
    [J]. Semigroup Forum, 2006, 72 : 283 - 311
12345