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The aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups. In all there sixteen infinite families of symplectic amalgams together with 62 more exotic examples. The classification touches on many important aspects of modern group theory: * p-local analysis * the amalgam method * representation theory over finite fields; and * properties of the finite simple groups. The account is for the most part self-contained and the wealth of detail makes this book an excellent introduction to these recent developments for graduate students, as well as a valuable resource and reference for specialists in the area.
The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.
This comprehensive multidisciplinary book examines all aspects of cancers of the mouth and oropharynx with the aim of equipping advanced students and practitioners in the early stages of specialist training with an up-to-date guide and reference. A multinational team of authors – all experts in the field of oral oncology – provide illuminating contributions on the full range of relevant topics: epidemiology, risk factors, clinical features, staging and prognostic factors, pathology, diagnostic techniques, disease prevention, surgery, radiotherapy, and chemotherapy. Molecular biology, molecular targeted therapies for advanced cases, and future diagnostic and prognostic applications of new technologies also receive careful attention. In providing a wealth of essential information and guidance in a practical format, the book will be a superb asset for senior graduate students in dentistry and specialist trainees in head and neck oncology. It will also be of high value for the many physicians, surgeons, pathologists, dentists, and specialists involved in the prevention, diagnosis, and management of squamous cell carcinomas of the oral cavity and oropharynx.
Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR