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.
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De Gruyter
2021
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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) |
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finite groups sub-class sizes mutually permutable products 20d10 20d20 20d40 20e45 Mathematics QA1-939 |
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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 |
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1718371652902846464 |