The modular group algebra problem for small p-groups of maximal class

Mohamed A.M. Salim; Robert Sandling

doi:10.4153/CJM-1996-055-x

The modular group algebra problem for small p-groups of maximal class

Mohamed A.M. Salim, Robert Sandling

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We show that p-groups of maximal class and order p⁵ are determined by their group algebras over the field of p elements. The most important information requisite for the proof is obtained from a detailed study of the unit group of a quotient algebra of the group algebra, larger than the small group algebra.

Original language	English
Pages (from-to)	1064-1078
Number of pages	15
Journal	Canadian Journal of Mathematics
Volume	48
Issue number	5
DOIs	https://doi.org/10.4153/CJM-1996-055-x
Publication status	Published - Oct 1996

Keywords

Isomorphism problem
Maximal class
Modular group algebra
P-group

ASJC Scopus subject areas

General Mathematics

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10.4153/CJM-1996-055-x

Cite this

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abstract = "We show that p-groups of maximal class and order p5 are determined by their group algebras over the field of p elements. The most important information requisite for the proof is obtained from a detailed study of the unit group of a quotient algebra of the group algebra, larger than the small group algebra.",

keywords = "Isomorphism problem, Maximal class, Modular group algebra, P-group",

author = "Salim, {Mohamed A.M.} and Robert Sandling",

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KW - Maximal class

KW - Modular group algebra

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The modular group algebra problem for small p-groups of maximal class

Abstract

Keywords

ASJC Scopus subject areas

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