Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
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...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2005 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156611 |
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| 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. |
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Sushchansky, V.I. Netreba, N.V. 2019-06-18T17:51:48Z 2019-06-18T17:51:48Z 2005 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. 1726-3255 2000 Mathematics Subject Classification: 17B30, 17B60, 20F18, 20F40. https://nasplib.isofts.kiev.ua/handle/123456789/156611 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups |
| spellingShingle |
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups Sushchansky, V.I. Netreba, N.V. |
| title_short |
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups |
| title_full |
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups |
| title_fullStr |
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups |
| title_full_unstemmed |
Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups |
| title_sort |
wreath product of lie algebras and lie algebras associated with sylow p-subgroups of finite symmetric groups |
| author |
Sushchansky, V.I. Netreba, N.V. |
| author_facet |
Sushchansky, V.I. Netreba, N.V. |
| publishDate |
2005 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156611 |
| citation_txt |
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. |
| work_keys_str_mv |
AT sushchanskyvi wreathproductofliealgebrasandliealgebrasassociatedwithsylowpsubgroupsoffinitesymmetricgroups AT netrebanv wreathproductofliealgebrasandliealgebrasassociatedwithsylowpsubgroupsoffinitesymmetricgroups |
| first_indexed |
2025-12-07T18:29:17Z |
| last_indexed |
2025-12-07T18:29:17Z |
| _version_ |
1850875217190060032 |