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Conciseness of coprime commutators in finite groups

Acciarri, Cristina ; Shumyatsky, Pavel and Thillaisundaram, Anitha LU (2014) In Bulletin of the Australian Mathematical Society 89(2). p.252-258
Abstract
Let G be a finite group. We show that the order of the subgroup generated by coprime γk-commutators (respectively,δk- commutators) is bounded in terms of the size of the set of coprime γk-commutators (respectively, δk-commutators). This is in parallel with the classical theorem due to Turner-Smith that the words γk and δk are concise.
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author
; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Bulletin of the Australian Mathematical Society
volume
89
issue
2
pages
252 - 258
publisher
Cambridge University Press
external identifiers
  • scopus:84897943219
ISSN
0004-9727
DOI
10.1017/S0004972713000361
language
English
LU publication?
no
id
506446f7-5b11-4199-b211-f81f00ddf5dd
date added to LUP
2024-06-07 14:33:04
date last changed
2025-10-14 10:16:04
@article{506446f7-5b11-4199-b211-f81f00ddf5dd,
  abstract     = {{Let G be a finite group. We show that the order of the subgroup generated by coprime γk-commutators (respectively,δk- commutators) is bounded in terms of the size of the set of coprime γk-commutators (respectively, δk-commutators). This is in parallel with the classical theorem due to Turner-Smith that the words γk and δk are concise.}},
  author       = {{Acciarri, Cristina and Shumyatsky, Pavel and Thillaisundaram, Anitha}},
  issn         = {{0004-9727}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{252--258}},
  publisher    = {{Cambridge University Press}},
  series       = {{Bulletin of the Australian Mathematical Society}},
  title        = {{Conciseness of coprime commutators in finite groups}},
  url          = {{http://dx.doi.org/10.1017/S0004972713000361}},
  doi          = {{10.1017/S0004972713000361}},
  volume       = {{89}},
  year         = {{2014}},
}