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Title: Isomorphism of Commutative Modular Group Algebras
Authors: Danchev, P.
Keywords: Isomorphism
Commutative Group Algebras
Direct Sum of Cyclics
Splitting Groups
Issue Date: 1997
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 23, No 3-4, (1997), 211p-224p
Abstract: Let K be a field of characteristic p > 0 and let G be a direct sum of cyclic groups, such that its torsion part is a p-group. If there exists a K-isomorphism KH ∼= KG for some group H, then it is shown that H ∼= G. Let G be a direct sum of cyclic groups, a divisible group or a simply presented torsion abelian group. Then KH ∼= KG as K-algebras for all fields K and some group H if and only if H ∼= G.
Description: ∗ The work was supported by the National Fund “Scientific researches” and by the Ministry of Education and Science in Bulgaria under contract MM 70/91.
ISSN: 1310-6600
Appears in Collections:Volume 23 Number 3-4

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