Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
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| Creator |
Slupik, A.J.
Sushchansky, V.I. |
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| 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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| Date |
2019-06-15T16:13:13Z
2019-06-15T16:13:13Z 2009 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/154503 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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