Some Characterizations of a Normal Subgroup of a Group

Details Some Characterizations of a Normal Subgroup of a Group Some Characterizations of a Normal Subgroup of a Group

2012-02-25

arxiv.org/abs/1202.5626v2

Mathematics

Group Theory

Scientific paper

Let G be a group and H be a subgroup of G which is either finite or of finite
index in G. In this note, we give some characterizations for normality of H in
G. As a consequence we get a very short and elementary proof of the Main
Theorem of [5], which avoids the use of the classification of finite simple
groups

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