On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups
A new class of global mixed Abelian groups, called W-groups, is defined. The following isomorphism theorem for commutative modular group algebras of such groups is proved: If G is a p-mixed μ-elementary W-group for some arbitrary ordinal μ, then the F-isomorphism between the group algebras FG and FH...
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| Дата: | 2006 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124555 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups / P. Danchev // Український математичний вісник. — 2006. — Т. 3, № 3. — С. 305-314. — Бібліогр.: 2 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-124555 |
|---|---|
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dspace |
| spelling |
irk-123456789-1245552017-09-30T03:03:21Z On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups Danchev, P. A new class of global mixed Abelian groups, called W-groups, is defined. The following isomorphism theorem for commutative modular group algebras of such groups is proved: If G is a p-mixed μ-elementary W-group for some arbitrary ordinal μ, then the F-isomorphism between the group algebras FG and FH of prime characteristic p for any group H implies that G and H are isomorphic. 2006 Article On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups / P. Danchev // Український математичний вісник. — 2006. — Т. 3, № 3. — С. 305-314. — Бібліогр.: 2 назв. — англ. 1810-3200 2000 MSC. 20C07, 16S34, 16U60, 20K21. http://dspace.nbuv.gov.ua/handle/123456789/124555 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A new class of global mixed Abelian groups, called W-groups, is defined. The following isomorphism theorem for commutative modular group algebras of such groups is proved: If G is a p-mixed μ-elementary W-group for some arbitrary ordinal μ, then the F-isomorphism between the group algebras FG and FH of prime characteristic p for any group H implies that G and H are isomorphic. |
| format |
Article |
| author |
Danchev, P. |
| spellingShingle |
Danchev, P. On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups Український математичний вісник |
| author_facet |
Danchev, P. |
| author_sort |
Danchev, P. |
| title |
On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups |
| title_short |
On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups |
| title_full |
On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups |
| title_fullStr |
On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups |
| title_full_unstemmed |
On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups |
| title_sort |
on the isomorphic group algebras of isotype subgroups of warfield abelian groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124555 |
| citation_txt |
On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups / P. Danchev // Український математичний вісник. — 2006. — Т. 3, № 3. — С. 305-314. — Бібліогр.: 2 назв. — англ. |
| series |
Український математичний вісник |
| work_keys_str_mv |
AT danchevp ontheisomorphicgroupalgebrasofisotypesubgroupsofwarfieldabeliangroups |
| first_indexed |
2023-10-18T20:46:39Z |
| last_indexed |
2023-10-18T20:46:39Z |
| _version_ |
1796151082150264832 |