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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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Bibliographic Details
Published in:	Algebra and Discrete Mathematics
Date:	2009
Main Authors:	Slupik, A.J., Sushchansky, V.I.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2009
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/154503
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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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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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