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 de...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2017 |
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| Format: | Article |
| 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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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728614200475648 |
|---|---|
| author | Beidleman, J.C. |
| author_facet | Beidleman, J.C. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-12-07T19:09:49Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-156021 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:09:49Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | A survey article on some subgroup embeddings and local properties for soluble PST-groups Beidleman, J.C. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156021 |
| work_keys_str_mv | AT beidlemanjc asurveyarticleonsomesubgroupembeddingsandlocalpropertiesforsolublepstgroups AT beidlemanjc surveyarticleonsomesubgroupembeddingsandlocalpropertiesforsolublepstgroups |