On weak commutativity between finite p-groups, p: odd
✍ Scribed by NoraíRomeu Rocco
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 686 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
## 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
## Introduction. 1. p-groups with Small Groups of Operators. 2. The Number of Solutions to x p s 1 in a Sylow p-subgroup of the Symmetric Group. 3. p-groups with Maximal Elementary Subgroup of Order p 2 . 4. On the Maximal Order of Subgroups of Given Exponent in a p-group. ## 5. p-groups with