Finite Rational Matrix Groups: 116 (Memoirs of the AMS) (Memoirs of the American Mathematical Society) - Softcover

Nebe, G.; Plesken, Wilhelm

Softcover

ISBN 10: 0821803433 ISBN 13: 9780821803431

Publisher: American Mathematical Society, 1995

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1995
• Language: English
• ISBN 10: 0821803433
• ISBN 13: 9780821803431
• Binding: Paperback
• Number of pages: 144