TY - BOOK AU - Plesken,W. AU - Nebe,G. TI - Finite Rational Matrix Groups T2 - Memoirs of the American Mathematical Society SN - 9781470401351 AV - QA3 -- .N434 1995eb U1 - 510 s PY - 1995/// CY - Providence PB - American Mathematical Society KW - Finite groups KW - Integral representations KW - Forms, Quadratic KW - Electronic books N1 - Intro -- Table of Contents -- Finite rational matrix groups -- I. Introduction -- II. Notation, basic definitions, and constructions -- III. Methods -- IV. Odd dimensions -- V. Groups of type L[sub(2)](p) of degree p±l -- VI. Dimensions 2[sub(p)] -- VII. Dimension 12 -- VIII. Dimension 18 -- IX. 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 -- I. Introduction -- II. Methods: Invariant quadratic forms and subgroups -- III. The simplicial complexes M[sup(irr)][sub(8)](Q) and M[sup(irr,F)][sub(8)](Q) -- IV. Results in dimension 16 -- V. Determination of the primitive r.i.m.f. groups of degree 16 -- VI. The simplicial complexes M[sup(irr}][sub(16)](Q) and M[sup(irr,F)][sub(16)](Q) -- Appendix: The Gram matrices fixed by the primitive r.i.m.f groups of degree 16 -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113840 ER -