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Synopsis
The study of finite rational matrix groups reduces to the investigation of the maximal finite irreducible matrix groups and their natural lattices, which often turn out to have rather beautiful geometric and arithmetic properties. This book presents a full classification in dimensions up to 23 and with restrictions in dimensions and p +1 and p-1 for all prime numbers p. Nonmaximal finite groups might act on several types of lattices and therefore embed into more than one maximal finite group. This gives rise to a simplicial complex interrelating the maximal finite groups and measuring the complexity of the dimension. Group theory, integral representation theory, arithmetic theory of quadratic forms and algorithmic methods are used.
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Finite rational matrix groups G. Nebe, W. Plesken. Memoirs of the American Mathematical Society 556.
Published by
Providence, American Mathematical Society, 1995
ISBN 10: 0821803433
ISBN 13: 9780821803431
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 NEB 9780821803431 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2505701
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Finite rational matrix groups.
Published by
Providence, American Mathematical Society, 1995
ISBN 10: 0821803433
ISBN 13: 9780821803431
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. VIII, 144 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16100 9780821803431 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2479562
Quantity: 1 available
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Finite Rational Matrix Groups (Memoirs of the American Mathematical Society)
Published by
Amer Mathematical Society, 1995
ISBN 10: 0821803433
ISBN 13: 9780821803431
Used
Paperback
Seller: Mispah books, Redhill, SURRE, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: Like New. Like New. book. Seller Inventory # ERICA80008218034336
Quantity: 1 available