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Structure of Groups with Generalized Normal Subgroups
Department of Mathematics, College of Science, Al Baha University, Al Baha, KSA
- 1 Department of Mathematics, College of Science, Al Baha University, Al Baha, KSA
Advances in Pure Mathematics·Volume 04 (2014)·Pages 261–268·Published 6 June 2014·DOI10.4236/apm.2014.46035
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Abstract
The present paper deals with a subgroup X of a group G is almost normal if the index | G : NG ( X )| is finite, while X is nearly normal if it has finite index in the normal closure XG . This paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.
KeywordsNormalityNearly NormalityNormalizer Subgroup
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