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9783659176692: Primitive Permutation Groups with Soluble Stabilizers: and Applications to Graphs

Sinopsis

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.

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Reseña del editor

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.

Biografía del autor

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.

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Hua Zhang
Publicado por LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3659176699 ISBN 13: 9783659176692
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Zhang HuaDr 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 . Nº de ref. del artículo: 5137206

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ISBN 10: 3659176699 ISBN 13: 9783659176692
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Taschenbuch. Condición: Neu. 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. Nº de ref. del artículo: 9783659176692

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Hua Zhang
Publicado por LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3659176699 ISBN 13: 9783659176692
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783659176692

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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. 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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 184 pp. Englisch. Nº de ref. del artículo: 9783659176692

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Zhang, Hua; Zhang, Hua
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ISBN 10: 3659176699 ISBN 13: 9783659176692
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