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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On maximal finite irreducible subgroups of $ {\rm GL}(n, {\bf Z})$. I. The five and seven dimensional cases


Authors: Wilhelm Plesken and Michael Pohst
Journal: Math. Comp. 31 (1977), 536-551
MSC: Primary 20G05
MathSciNet review: 0444789
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Abstract: General methods for the determination of maximal finite absolutely irreducible subgroups of $ GL(n,{\mathbf{Z}})$ are described. For $ n = 5,7$ all these groups are computed up to Z-equivalence.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0444789-X
PII: S 0025-5718(1977)0444789-X
Keywords: Integral matrix groups
Article copyright: © Copyright 1977 American Mathematical Society