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arXiv · 1202.5626

Some Characterizations of a Normal Subgroup of a Group

Vipul Kakkar·R. P. Shukla
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Abstract

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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Vipul Kakkar, R. P. Shukla. 2012-02-25. Some Characterizations of a Normal Subgroup of a Group. https://arxiv.org/abs/1202.5626

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