Primitive Permutation Groups with Soluble Stabilizers

Hua Zhang

ISBN 10: 3659176699 / ISBN 13: 9783659176692

Editore: LAP LAMBERT Academic Publishing Jul 2012, 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -This book is contributed to investigate the interactions between group theory and graph theory. In more than 60 years such interactions have greatly stimulated the development of each other, especially the theory of symmetric graphs has almost developed in parallel with the theory of permutation groups. In the study of permutation groups the information of point stabilizers of a primitive group is crucial to the structure of the primitive group. In this book we study primitive groups with soluble stabilizers, a classification is gievn. Then the outcome is used to classify certain classes of symmetric graphs, and several important classification results are obtained. This book is intended as a report of a series of researches concerning the two interactive fields, it also provides a reasonable coverage of basic concepts, ideas, and skills of permutation groups and symmetric graphs. The book is addressed primarily to researchers and postgraduate students in the fields. To read the book the reader is expected to have some basic knowledge of permutation groups, finite simple groups and graphs. 184 pp. Englisch. Codice articolo 9783659176692

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Titolo: Primitive Permutation Groups with Soluble ...

Casa editrice: LAP LAMBERT Academic Publishing Jul 2012

Data di pubblicazione: 2012

Legatura: Taschenbuch

Condizione: Neu

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Riassunto:

This book is contributed to investigate the interactions between group theory and graph theory. In more than 60 years such interactions have greatly stimulated the development of each other, especially the theory of symmetric graphs has almost developed in parallel with the theory of permutation groups. In the study of permutation groups the information of point stabilizers of a primitive group is crucial to the structure of the primitive group. In this book we study primitive groups with soluble stabilizers, a classification is gievn. Then the outcome is used to classify certain classes of symmetric graphs, and several important classification results are obtained. This book is intended as a report of a series of researches concerning the two interactive fields, it also provides a reasonable coverage of basic concepts, ideas, and skills of permutation groups and symmetric graphs. The book is addressed primarily to researchers and postgraduate students in the fields. To read the book the reader is expected to have some basic knowledge of permutation groups, finite simple groups and graphs.

L'autore:

Dr Hua Zhang, born in 1963, received a BSc degree from the Yunnan University, China, and a DPhil from the University of Western Australia, Australia, currently is a member of the faculty at the School of Mathematics, Yunnan Normal University, China. Research interests focus on finite permutation groups, group theory and algebraic group theory.