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Title: | A survey article on some subgroup embeddings and local properties for soluble PST-groups |
Authors: | Beidleman, J. C. |
Keywords: | S-permutable subgroup semipermutable subgroup seminormal subgroup PST-group |
Issue Date: | 2017 |
Series/Report no.: | математичні науки; |
Abstract: | 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 proper- ties related to Yp which lead to several new characterizations of soluble PST-groups. Another purpose is to define several embed- ding 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. |
Description: | Beidleman J.C. A survey article on some subgroup embeddings and local properties for soluble PST-groups / J. C. Beidleman // Algebra and Discrete Mathematics. - 2017. - Vol. 23. - Number 2. - Рp. 197- 203 |
URI: | http://hdl.handle.net/123456789/4626 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (23). - 2017 |
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386-1601-1-PB.pdf | 283.49 kB | Adobe PDF | View/Open |
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