A survey article on some subgroup embeddings and local properties for soluble PST-groups
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...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2017 |
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| Language: | English |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156021 |
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| Cite this: | 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. |
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Beidleman, J.C. 2019-06-17T18:56:12Z 2019-06-17T18:56:12Z 2017 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. https://nasplib.isofts.kiev.ua/handle/123456789/156021 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A survey article on some subgroup embeddings and local properties for soluble PST-groups Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
A survey article on some subgroup embeddings and local properties for soluble PST-groups |
| spellingShingle |
A survey article on some subgroup embeddings and local properties for soluble PST-groups Beidleman, J.C. |
| title_short |
A survey article on some subgroup embeddings and local properties for soluble PST-groups |
| title_full |
A survey article on some subgroup embeddings and local properties for soluble PST-groups |
| title_fullStr |
A survey article on some subgroup embeddings and local properties for soluble PST-groups |
| title_full_unstemmed |
A survey article on some subgroup embeddings and local properties for soluble PST-groups |
| title_sort |
survey article on some subgroup embeddings and local properties for soluble pst-groups |
| author |
Beidleman, J.C. |
| author_facet |
Beidleman, J.C. |
| publishDate |
2017 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156021 |
| citation_txt |
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. |
| work_keys_str_mv |
AT beidlemanjc asurveyarticleonsomesubgroupembeddingsandlocalpropertiesforsolublepstgroups AT beidlemanjc surveyarticleonsomesubgroupembeddingsandlocalpropertiesforsolublepstgroups |
| first_indexed |
2025-12-07T19:09:49Z |
| last_indexed |
2025-12-07T19:09:49Z |
| _version_ |
1850877767767293952 |