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 th...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2005 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156611 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862721139580600320 |
|---|---|
| author | Sushchansky, V.I. Netreba, N.V. |
| author_facet | Sushchansky, V.I. Netreba, N.V. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T18:29:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156611 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:29:17Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| 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 | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156611 |
| work_keys_str_mv | AT sushchanskyvi wreathproductofliealgebrasandliealgebrasassociatedwithsylowpsubgroupsoffinitesymmetricgroups AT netrebanv wreathproductofliealgebrasandliealgebrasassociatedwithsylowpsubgroupsoffinitesymmetricgroups |