Hall operators on the set of formations of finite groups
Let π be a nonempty set of primes and let F be a saturated formation of all finite soluble π-groups. It is constructed the saturated formation consisting of all finite π-soluble groups whose F-projectors contain a Hall π-subgroup.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2010 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154492 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Hall operators on the set of formations of finite groups / A.P. Mekhovich, N.N. Vorob’ev, N.T. Vorob’ev // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 72–78. — Бібліогр.: 19 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862602331148779520 |
|---|---|
| author | Mekhovich, A.P. Vorob’ev, N.N. Vorob’ev, N.T. |
| author_facet | Mekhovich, A.P. Vorob’ev, N.N. Vorob’ev, N.T. |
| citation_txt | Hall operators on the set of formations of finite groups / A.P. Mekhovich, N.N. Vorob’ev, N.T. Vorob’ev // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 72–78. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let π be a nonempty set of primes and let F be a saturated formation of all finite soluble π-groups. It is constructed the saturated formation consisting of all finite π-soluble groups whose F-projectors contain a Hall π-subgroup.
|
| first_indexed | 2025-11-28T02:27:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154492 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-28T02:27:44Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Mekhovich, A.P. Vorob’ev, N.N. Vorob’ev, N.T. 2019-06-15T16:07:19Z 2019-06-15T16:07:19Z 2010 Hall operators on the set of formations of finite groups / A.P. Mekhovich, N.N. Vorob’ev, N.T. Vorob’ev // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 72–78. — Бібліогр.: 19 назв. — англ. 1726-3255 2001 Mathematics Subject Classification:20D10 https://nasplib.isofts.kiev.ua/handle/123456789/154492 Let π be a nonempty set of primes and let F be a saturated formation of all finite soluble π-groups. It is constructed the saturated formation consisting of all finite π-soluble groups whose F-projectors contain a Hall π-subgroup. Research of the second author is partially supported by Belarussian Republic Foun-dation of Fundamental Researches (BRFFI, grant F08M-118) en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Hall operators on the set of formations of finite groups Article published earlier |
| spellingShingle | Hall operators on the set of formations of finite groups Mekhovich, A.P. Vorob’ev, N.N. Vorob’ev, N.T. |
| title | Hall operators on the set of formations of finite groups |
| title_full | Hall operators on the set of formations of finite groups |
| title_fullStr | Hall operators on the set of formations of finite groups |
| title_full_unstemmed | Hall operators on the set of formations of finite groups |
| title_short | Hall operators on the set of formations of finite groups |
| title_sort | hall operators on the set of formations of finite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154492 |
| work_keys_str_mv | AT mekhovichap halloperatorsonthesetofformationsoffinitegroups AT vorobevnn halloperatorsonthesetofformationsoffinitegroups AT vorobevnt halloperatorsonthesetofformationsoffinitegroups |