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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Date: | 2009 |
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Main Authors: | Slupik, A.J., Sushchansky, V.I. |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2009
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Series: | Algebra and Discrete Mathematics |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | 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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