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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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862750771650494464 |
|---|---|
| author | Danchev, P. |
| author_facet | Danchev, P. |
| 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| 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.
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| first_indexed | 2025-12-07T21:08:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124555 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T21:08:03Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Danchev, P. 2017-09-29T09:30:55Z 2017-09-29T09:30:55Z 2006 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. https://nasplib.isofts.kiev.ua/handle/123456789/124555 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. en Інститут прикладної математики і механіки НАН України Український математичний вісник On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups Article published earlier |
| spellingShingle | On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups Danchev, P. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124555 |
| work_keys_str_mv | AT danchevp ontheisomorphicgroupalgebrasofisotypesubgroupsofwarfieldabeliangroups |