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

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