Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups

dc.contributor.author	Sushchansky, V.I.
dc.contributor.author	Netreba, N.V.
dc.date.accessioned	2019-06-18T17:51:48Z
dc.date.available	2019-06-18T17:51:48Z
dc.date.issued	2005
dc.identifier.citation	Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups / V.I. Sushchansky, N.V. Netreba // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 122–132. — Бібліогр.: 11 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 17B30, 17B60, 20F18, 20F40.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156611
dc.description.abstract	We define a wreath product of a Lie algebra L with the one-dimensional Lie algebra L1 over Fp and determine some properties of this wreath product. We prove that the Lie algebra associated with the Sylow p-subgroup of finite symmetric group Spm is isomorphic to the wreath product of m copies of L1. As a corollary we describe the Lie algebra associated with Sylow p-subgroup of any symmetric group in terms of wreath product of one-dimensional Lie algebras.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA