Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



On integral groups. III. Normalizers

Authors: H. Brown, J. Neubüser and H. Zassenhaus
Journal: Math. Comp. 27 (1973), 167-182
MSC: Primary 20H15
MathSciNet review: 0333025
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 20H15

Retrieve articles in all journals with MSC: 20H15

Additional Information

Keywords: Crystallographic groups, integral matrix groups
Article copyright: © Copyright 1973 American Mathematical Society