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On n-Isoclinic Pairs of Groups.
- Source :
-
Algebra Colloquium . Dec2011 Supplement, Vol. 18, p999-1006. 8p. - Publication Year :
- 2011
-
Abstract
- In this paper, we extend the notion of n-isoclinism to the class of all pairs of groups (G,M), where M is a normal subgroup of a group G. The details of that notion are studied and some equivalent conditions are given for two pairs of groups to be n-isoclinic. In addition, the concept of subgroup- and quotient-irreducibility for a pair of groups is defined and we derive how to see whether (G,M) has a pair of subgroups or a pair of factor groups n-isoclinic with (G,M). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 18
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 67177990
- Full Text :
- https://doi.org/10.1142/S1005386711000873