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On the normal indices of proper subgroups of finite groups
- Source :
-
Journal of Pure & Applied Algebra . Jul2010, Vol. 214 Issue 7, p1285-1290. 6p. - Publication Year :
- 2010
-
Abstract
- Abstract: We extended the normal index from maximal subgroups to proper subgroups. We give a quantitative version of all results obtained by using -normal subgroups and obtain some new characterizations of solvable, supersolvable and nilpotent groups by the normal indices of proper subgroups. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 214
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 47829252
- Full Text :
- https://doi.org/10.1016/j.jpaa.2009.10.012