Table of Contents
Finite rational matrix groups
I. Introduction
II. Notation, basic definitions, and constructions
III. Methods
IV. Odd dimensions
V. Groups of type L2(p) of degree p±l
VI. Dimensions 2p
VII. Dimension 12
VIII. Dimension 18
IX. Dimension 20
Appendix: The Gram matrices fixed by the primitive r.i.m.
of degree n = 12,14,15,18, 20,21 and 22
List of notations
References
Finite rational matri x groups of degree 16
I. Introduction
II. Methods: Invariant quadratic forms and subgroups
III. The simplicial complexes Mirr{Q) and M^iQ)
IV. Results in dimension 16
V. Determination of the primitive r.i.m.f. groups of degree
VI. The simplicial complexes M{r&r{Q) and M[r^F{Q)
Appendix: The Gram matrices fixed by the primitive r.i.m.
groups of degree 16
References
vii
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