Conciseness of coprime commutators in finite groups
(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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https://lup.lub.lu.se/record/506446f7-5b11-4199-b211-f81f00ddf5dd
- author
- Acciarri, Cristina ; Shumyatsky, Pavel and Thillaisundaram, Anitha LU
- publishing date
- 2014
- 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
- 2024-08-12 17:48:00
@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}}, }