Structure of Groups with Generalized Normal Subgroups

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DOI: 10.4236/apm.2014.46035    6,262 Downloads   7,935 Views  

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.

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Arshaduzzaman, M. (2014) Structure of Groups with Generalized Normal Subgroups. Advances in Pure Mathematics, 4, 261-268. doi: 10.4236/apm.2014.46035.

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