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Regular p-groups and groups of maximal class

✍ Scribed by Avinoam Mann


Book ID
107774251
Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
260 KB
Volume
42
Category
Article
ISSN
0021-8693

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## Finite groups, maximal class MSC (2010) 20D15 Let R be the ring Z[x]/ x p -1 x -1 = Z[x] and let a be the ideal of R generated by (x -1). In this paper, we discuss the structure of the Z[Cp ]-module (R/a n -1 )∧(R/a n -1 ), which plays an important role in the theory of p-groups of maximal cla

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## Abstract Let __G__ be a __p__ ‐group of maximal class of order __p__^__m__^ , __p__ β‰  2, and __c__ (__G__) the degree of commutativity of __G__. Let __c__~0~ be the nonnegative residue of __c__ modulo __p__ – 1. In this paper, by using only Lie algebra techniques, we prove that 2__c β‰₯ m__ – 2__p

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