On integral groups. III. Normalizers

Brown, H.; Neubüser, J.; Zassenhaus, H.

doi:10.1090/S0025-5718-1973-0333025-7

On integral groups. III. Normalizers
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by H. Brown, J. Neubüser and H. Zassenhaus PDF

Math. Comp. 27 (1973), 167-182 Request permission

Abstract:

Methods for determining a generating set for the normalizer of a finite group of $n \times n$ integral matrices, i.e., an n-dimensional crystallographic point group, are discussed. Necessary and sufficient conditions for the finiteness of such a normalizer are derived, and several examples of the application of the methods to cases when the normalizer is infinite are presented.

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