## Abstract Let __G__ be a __p__ ‐group of maximal class of order __p__^__m__^ , __p__ ≠ 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 ≥ m__ – 2__p
On the Use of the Lazard Correspondence in the Classification of p-Groups of Maximal Class
✍ Scribed by A Jaikin-Zapirain; A Vera-López
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 125 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0021-8693
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Partially supported by the research funds of Ministero dell'Uni¨ersita e della Ricerca Scientifica e Tecnologica and by Grant 9300856.CT01 of Consiglio Nazionale delle Ricerche.
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