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

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Authors: Sushchansky, V.I., Netreba, N.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156611
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 th...