We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
n-Isoclinism Classes and n-Nilpotency Degree of Finite Groups.
- Authors
Moghaddam, Mohammad Reza R.; Salemkar, Ali Reza; Chiti, Kazem
- Abstract
Gallagher (1970) and Gustafson (1973) introduced the commutativity degree of a finite group. In this paper, we define the n-nilpotency degree of finite groups for n ≥ 1, and prove some results as Lescot (1995) does for a certain class of groups. In particular, it is shown that the n-isoclinism of finite groups preserves their n-nilpotency degrees. Finally, some sharper and more general upper bound than previously known is constructed for the commutativity degree of non-abelian finite groups.
- Subjects
FINITE groups; MODULES (Algebra); NONABELIAN groups; GROUP theory; ALGEBRA; MATHEMATICAL analysis
- Publication
Algebra Colloquium, 2005, Vol 12, Issue 2, p255
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386705000246