Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced and it is proved that Pn contains minimal generating sets of all possible t...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154503 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups / A.J. Slupik, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 167–184. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862529284626710528 |
|---|---|
| author | Slupik, A.J. Sushchansky, V.I. |
| author_facet | Slupik, A.J. Sushchansky, V.I. |
| citation_txt | Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups / A.J. Slupik, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 167–184. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced and it is proved that Pn contains minimal generating sets of all possible type. The isomorphism problem of Cayley graphs of Pn with respect to their minimal generating sets is discussed.
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| first_indexed | 2025-11-24T02:42:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154503 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T02:42:06Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Slupik, A.J. Sushchansky, V.I. 2019-06-15T16:13:13Z 2019-06-15T16:13:13Z 2009 Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups / A.J. Slupik, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 167–184. — Бібліогр.: 11 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20B35, 05C25, 05C12, 20F65. https://nasplib.isofts.kiev.ua/handle/123456789/154503 Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced and it is proved that Pn contains minimal generating sets of all possible type. The isomorphism problem of Cayley graphs of Pn with respect to their minimal generating sets is discussed. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups Article published earlier |
| spellingShingle | Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups Slupik, A.J. Sushchansky, V.I. |
| title | Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups |
| title_full | Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups |
| title_fullStr | Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups |
| title_full_unstemmed | Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups |
| title_short | Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups |
| title_sort | minimal generating sets and cayley graphs of sylow p-subgroups of finite symmetric groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154503 |
| work_keys_str_mv | AT slupikaj minimalgeneratingsetsandcayleygraphsofsylowpsubgroupsoffinitesymmetricgroups AT sushchanskyvi minimalgeneratingsetsandcayleygraphsofsylowpsubgroupsoffinitesymmetricgroups |