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3-Rewritable Nilpotent 2-Groups of Class 2 #.
- Source :
-
Communications in Algebra . May2005, Vol. 33 Issue 5, p1417-1425. 9p. - Publication Year :
- 2005
-
Abstract
- Let n be an integer greater than 1. A group G is said to be n-rewritable (or a Q n -group) if for every n elements x 1 , x 2 ,...,x n in G there exist distinct permutations s and t in S n such that x s(1) x s (2) ··· x s(n) = x t(1) x t(2) ··· x t(n) . In this paper, we characterize all 3-rewritable nilpotent 2-groups of class 2. Also we have found a bound for the nilpotency class of certain nilpotent 3-rewritable groups, and have shown that 3-rewritable groups satisfy a certain law. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMBINATORICS
*ALGEBRA
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 33
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 17343127
- Full Text :
- https://doi.org/10.1081/AGB-200061018