The isomorphism question for modular group algebras of metacyclic 𝑝-groups-Reference-Cited by-同舟云学术

The isomorphism question for modular group algebras of metacyclic 𝑝-groups

Published:1988 Issue:1 Volume:104 Page:39-42
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bagiński Czesław

Abstract

Let F [ G ] F[G] be a group algebra of a finite p p -group G G over the field F = G F ( p ) F = GF(p) . If G ≃ H G \simeq H , then clearly F [ G ] ≃ F [ H ] F[G] \simeq F[H] . However, it is not known whether the converse is true. The answer for metacyclic p p -groups, p > 3 p > 3 , is given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-01/S0002-9939-1988-0958039-8/S0002-9939-1988-0958039-8.pdf

Reference6 articles.

1. Groups of units of modular group algebras;Bagiński, Czesław;Proc. Amer. Math. Soc.,1987

2. On the ismorphisms of two metacyclic groups;Basmaji, B. G.;Proc. Amer. Math. Soc.,1969

3. Die Grundlehren der mathematischen Wissenschaften, Band 134;Huppert, B.,1967

4. The group algebras of groups of order 𝑝⁴ over a modular field;Passman, D. S.;Michigan Math. J.,1965

5. \bysame, The algebraic structure of group rings, Wiley-Interscience, New York, 1978.

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