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Character Degrees, Class Sizes, and Normal Subgroups of a Certain Class of p-Groups

✍ Scribed by Jeffrey M. Riedl

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
192 KB
Volume
218
Category
Article
ISSN
0021-8693

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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