On sub-class sizes of mutually permutable products

In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements of its factors have certain quantitative properties. Some criteria for a group to be pp-nilpotent or pp-supersolvable are given.

Guardado en:
Detalles Bibliográficos
Autores principales: Li Jinbao, Yang Yong
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
Materias:
Acceso en línea:https://doaj.org/article/c4a787c9e23149e4927df9e5393fe5b9
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:c4a787c9e23149e4927df9e5393fe5b9
record_format dspace
spelling oai:doaj.org-article:c4a787c9e23149e4927df9e5393fe5b92021-12-05T14:10:52ZOn sub-class sizes of mutually permutable products2391-545510.1515/math-2021-0030https://doaj.org/article/c4a787c9e23149e4927df9e5393fe5b92021-05-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0030https://doaj.org/toc/2391-5455In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements of its factors have certain quantitative properties. Some criteria for a group to be pp-nilpotent or pp-supersolvable are given.Li JinbaoYang YongDe Gruyterarticlefinite groupssub-class sizesmutually permutable products20d1020d2020d4020e45MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 238-243 (2021)
institution DOAJ
collection DOAJ
language EN
topic finite groups
sub-class sizes
mutually permutable products
20d10
20d20
20d40
20e45
Mathematics
QA1-939
spellingShingle finite groups
sub-class sizes
mutually permutable products
20d10
20d20
20d40
20e45
Mathematics
QA1-939
Li Jinbao
Yang Yong
On sub-class sizes of mutually permutable products
description In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements of its factors have certain quantitative properties. Some criteria for a group to be pp-nilpotent or pp-supersolvable are given.
format article
author Li Jinbao
Yang Yong
author_facet Li Jinbao
Yang Yong
author_sort Li Jinbao
title On sub-class sizes of mutually permutable products
title_short On sub-class sizes of mutually permutable products
title_full On sub-class sizes of mutually permutable products
title_fullStr On sub-class sizes of mutually permutable products
title_full_unstemmed On sub-class sizes of mutually permutable products
title_sort on sub-class sizes of mutually permutable products
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/c4a787c9e23149e4927df9e5393fe5b9
work_keys_str_mv AT lijinbao onsubclasssizesofmutuallypermutableproducts
AT yangyong onsubclasssizesofmutuallypermutableproducts
_version_ 1718371652902846464