A survey article on some subgroup embeddings and local properties for soluble PST-groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A survey article on some subgroup embeddings and local properties for soluble PST-groups
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| Creator |
Beidleman, J.C.
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| Description |
Let G be a group and p a prime number. G is said to be a Yp-group if whenever K is a p-subgroup of G then every subgroup of K is an S-permutable subgroup in NG(K). The group G is a soluble PST-group if and only if G is a Yp-group for all primes p. One of our purposes here is to define a number of local properties related to Yp which lead to several new characterizations of soluble PST-groups. Another purpose is to define several embedding subgroup properties which yield some new classes of soluble PST-groups. Such properties include weakly S-permutable subgroup, weakly semipermutable subgroup, and weakly seminormal subgroup. |
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| Date |
2019-06-17T18:56:12Z
2019-06-17T18:56:12Z 2017 |
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| Type |
Article
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| Identifier |
A survey article on some subgroup embeddings and local properties for soluble PST-groups / J.C. Beidleman // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 197-203. — Бібліогр.: 20 назв. — англ.
1726-3255 2010 MSC:20D10, 20D20, 20D35. http://dspace.nbuv.gov.ua/handle/123456789/156021 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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