Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups

Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups

Suppose<em> G</em> is with finite torsion-free rank a coproduct of <em>p</em>-mixed countable abelian groups and <em>F</em> is a field with characteristic <em>p</em> such that the group algebras <em>FG</em> and <em>FH</em> are&l...

Full description

Bibliographic Details
Main Author: Peter Danchev
Format: Article
Language:English
Published: Università degli Studi di Catania 2006-10-01
Series:Le Matematiche
Subjects:
group algebras, finite torsion-free rank, p-mixed groups, coproducts of countable groups, isomorphisms
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/112
id doaj-2322de971083461b8283628c706af0c8
record_format Article
spelling doaj-2322de971083461b8283628c706af0c82020-11-25T03:44:26ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982006-10-0161115716294Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groupsPeter DanchevSuppose<em> G</em> is with finite torsion-free rank a coproduct of <em>p</em>-mixed countable abelian groups and <em>F</em> is a field with characteristic <em>p</em> such that the group algebras <em>FG</em> and <em>FH</em> are<em> F</em> -isomorphic for another group <em>H</em> . Then <em>G</em> and <em>H</em> are isomorphic.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/112group algebras, finite torsion-free rank, p-mixed groups, coproducts of countable groups, isomorphisms
collection DOAJ
language English
format Article
sources DOAJ
author Peter Danchev
spellingShingle Peter Danchev
Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups
Le Matematiche
group algebras, finite torsion-free rank, p-mixed groups, coproducts of countable groups, isomorphisms
author_facet Peter Danchev
author_sort Peter Danchev
title Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups
title_short Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups
title_full Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups
title_fullStr Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups
title_full_unstemmed Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups
title_sort isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2006-10-01
description Suppose<em> G</em> is with finite torsion-free rank a coproduct of <em>p</em>-mixed countable abelian groups and <em>F</em> is a field with characteristic <em>p</em> such that the group algebras <em>FG</em> and <em>FH</em> are<em> F</em> -isomorphic for another group <em>H</em> . Then <em>G</em> and <em>H</em> are isomorphic.<br />
topic group algebras, finite torsion-free rank, p-mixed groups, coproducts of countable groups, isomorphisms
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/112
work_keys_str_mv AT peterdanchev isomorphismofmodulargroupalgebrasoffinitetorsionfreerankcoproductsofpmixedcountableabeliangroups
_version_ 1724515030026682368

Similar Items