The Journal of the Indian Mathematical Society

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The Normalizer of a Sylow Representation of a Finite Group


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1 Mathematisches Seminar der Universitat, Frankfurt, a. Main, Germany
     

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If S(p) is, for every prime p, a p-Sylow subgroup of the finite group G, then we term the function S a Sylow representation of 0. The normalizer T of S and its situation within G appear to contain considerable information about the structure of G\ cf. Hall [4 a], [5] and Wielandt [6].
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  • The Normalizer of a Sylow Representation of a Finite Group

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Authors

Reinhold Baer
Mathematisches Seminar der Universitat, Frankfurt, a. Main, Germany

Abstract


If S(p) is, for every prime p, a p-Sylow subgroup of the finite group G, then we term the function S a Sylow representation of 0. The normalizer T of S and its situation within G appear to contain considerable information about the structure of G\ cf. Hall [4 a], [5] and Wielandt [6].