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The Classification of the Finite Simple Groups, Number 7 - Part III, Chapters 7-11: The Generic Case, Stages 3b and 4a (Hardcover)
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The Classification of the Finite Simple Groups, Number 7 - Part III, Chapters 7-11: The Generic Case, Stages 3b and 4a (Hardcover)
Series: Mathematical Surveys and Monographs
Expected to ship within 12 - 19 working days
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The classification of finite simple groups is a landmark result of
modern mathematics. The multipart series of monographs which is
being published by the AMS (Volume 40.1-40.7 and future volumes)
represents the culmination of a century-long project involving the
efforts of scores of mathematicians published in hundreds of
journal articles, books, and doctoral theses, totaling an estimated
15,000 pages. This part 7 of the series is the middle of a trilogy
(Volume 40.5, Volume 40.7, and forthcoming Volume 40.8) treating
the Generic Case, i.e., the identification of the alternating
groups of degree at least 13 and most of the finite simple groups
of Lie type and Lie rank at least 4. Moreover, Volumes 40.4-40.8 of
this series will provide a complete treatment of the simple groups
of odd type, i.e., the alternating groups (with two exceptions) and
the groups of Lie type defined over a finite field of odd order, as
well as some of the sporadic simple groups. In particular, this
volume completes the construction, begun in Volume 40.5, of a
collection of neighboring centralizers of a particularly nice form.
All of this is then applied to complete the identification of the
alternating groups of degree at least 13. The book is suitable for
graduate students and researchers interested in the theory of
finite groups.
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