Finite rational matrix groups / [electronic resource] G. Nebe, W. Plesken.

By: Nebe, G. (Gabriele), 1967-Contributor(s): Plesken, Wilhelm, 1950-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 556Publication details: Providence, R.I. : American Mathematical Society, c1995Description: 1 online resource (viii, 144 p.)ISBN: 9781470401351 (online)Subject(s): Finite groups | Integral representations | Forms, QuadraticAdditional physical formats: Finite rational matrix groups /DDC classification: 510 s | 512/.2 LOC classification: QA3 | .A57 no. 556 | QA177Online resources: Contents | Contents
Contents:
Finite rational matrix groups I. Introduction II. Notation, basic definitions, and constructions III. Methods IV. Odd dimensions V. Groups of type $L_2(p)$ of degree $p \pm 1$ VI. Dimensions $2p$ 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 $22$ Finite rational matrix groups of degree $16$ I. Introduction II. Methods: Invariant quadratic forms and subgroups III. The simplicial complexes $M^{irr}_8(\mathbb {Q})$ and $M^{irr,F}_8(\mathbb {Q})$ IV. Results in dimension 16 V. Determination of the primitive r.i.m.f. groups of degree 16 VI. The simplicial complexes $M^{irr}_(\mathbb {Q})$ and $M^{irr,F}_(\mathbb {Q})$ Appendix. The Gram matrices fixed by the primitive r.i.m.f. groups of degree $16$
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"July 1995, Volume 116, number 556 (third of 4 numbers)."

Includes bibliographical references (p. 144).

Finite rational matrix groups I. Introduction II. Notation, basic definitions, and constructions III. Methods IV. Odd dimensions V. Groups of type $L_2(p)$ of degree $p \pm 1$ VI. Dimensions $2p$ 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 $22$ Finite rational matrix groups of degree $16$ I. Introduction II. Methods: Invariant quadratic forms and subgroups III. The simplicial complexes $M^{irr}_8(\mathbb {Q})$ and $M^{irr,F}_8(\mathbb {Q})$ IV. Results in dimension 16 V. Determination of the primitive r.i.m.f. groups of degree 16 VI. The simplicial complexes $M^{irr}_(\mathbb {Q})$ and $M^{irr,F}_(\mathbb {Q})$ Appendix. The Gram matrices fixed by the primitive r.i.m.f. groups of degree $16$

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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