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On non-commuting sets in an extraspecial p-group.
- Source :
-
Journal of Group Theory . Mar2005, Vol. 8 Issue 2, p189-194. 6p. - Publication Year :
- 2005
-
Abstract
- Let G be a group. A set X of elements of G is said to be non-commuting if xy ≠ yx for any x, y ∈ X with x ≠ y. If |X| ≥ |X′| for any other non-commuting set X′ in G, then X is said to be a maximal non-commuting set. In this paper we obtain upper and lower bounds for the cardinality of a maximal non-commuting set in an extraspecial p-group where p is an odd prime. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GROUP theory
*ALGEBRA
*MATHEMATICS
*MAXIMAL subgroups
*COMMUTATIVE algebra
Subjects
Details
- Language :
- English
- ISSN :
- 14335883
- Volume :
- 8
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 18526648
- Full Text :
- https://doi.org/10.1515/jgth.2005.8.2.189