Table of Content
Finite rational matrix groups; Introduction; Notation, basic definitions, and constructions; Methods; Odd dimensions; Groups of type $L_2(p)$ of degree $p\pm 1$; Dimensions $2p$; Dimension $12$; Dimension $18$; Dimension $20$; Appendix: The Gram matrices fixed by the primitive r.i.m.f. groups of degree $n=12, 14, 15, 18, 20, 21$ and $22$; List of notations; References; Finite rational matrix groups of degree $16$; Introduction; Methods: Invariant quadratic forms and subgroups; The simplicial complexes $M_8^{irr}(Q)$ and $M_8^{irr,F}(Q)$; Results in dimension $16$; Determination of the primitive r.i.m.f. groups of degree $16$; The simplicial complexes $M_{16}^{irr}(Q)$ and $M_{16}^{irr,F}(Q)$; Appendix: The Gram matrices fixed by the primitive r.i.m.f. groups of degree $16$; References.
