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The Modular Group Algebra Problem for Small p-Groups Of Maximal Class
Published online by Cambridge University Press: 20 November 2018
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.
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- Copyright © Canadian Mathematical Society 1996
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