Low-dimensional lattices. II. Subgroups ofGL(n, ℤ)
- 8 September 1988
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 419 (1856) , 29-68
- https://doi.org/10.1098/rspa.1988.0095
Abstract
The maximal finite irreducible groups of n x n integers for n = 4, 5, ..., 9, 11, 13, 17, 19, 23 were determined by Dade, Ryskov, Bulow, Plesken & Pohst and Plesken, as the automorphism groups of certain quadratic forms. This paper presents a geometric description of the corresponding n-dimensional lattices, and gives coordinates which display their symmetries and minimal vectors. Some very interesting lattices appear.Keywords
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