Isoclinism Classes and Commutativity Degrees of Finite Groups
β Scribed by P. Lescot
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 601 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
## Abstract Let __G__ be a __p__ βgroup 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__ β 1. In this paper, by using only Lie algebra techniques, we prove that 2__c β₯ m__ β 2__p
The object of this note is to discuss the properties of some polynomials on a . countable set of indeterminates attached to any finite group which generalize the Ε½ Eulerian functions of a group defined by P. Hall 1936, Quart. J. Math. 7, . 134α151 . In particular, I will define some classes of finit