THE SYLOW THEOREM AND ITS CONSEQUENCES

Garima Singh, Ajjaz Maqbool Dar

Abstract


The aim of the paper is to present some problems and also some partial results mainly on groups and converse of langrage’s theorem with the help of Sylow theorems.in this paper we find different sylow sub-groups and deduce the normalizer of sylow subgroups.

Key words: Finite group, the number of subgroups of prime power, index in a group  of the normalizer of any Sylow subgroups.


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ISSN (Paper)2224-5804 ISSN (Online)2225-0522

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