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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| Auteurs principaux: | , |
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| Format: | article |
| Langue: | EN |
| Publié: |
De Gruyter
2021
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/c4a787c9e23149e4927df9e5393fe5b9 |
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| Résumé: | 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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