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has been cited by the following article:

• TITLE: Structure of Groups with Generalized Normal Subgroups

  AUTHORS: Mohammad Arshaduzzaman

  KEYWORDS: Normality, Nearly Normality, Normalizer Subgroup

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.6, June 13, 2014

  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.