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Abstract Root Subgroups & Simple Groups of Lie-Type (Monographs in Mathematics) [Hardcover]

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Item description for Abstract Root Subgroups & Simple Groups of Lie-Type (Monographs in Mathematics) by Franz G. Timmesfeld...

The present book is the first to systematically treat the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. Fischer and the author. It was extended to arbitrary groups in the 1990s by the author. The theory of abstract root subgroups is an important tool to study and classify simple classical and Lie-type groups. It is strongly related to the theory of root groups on buildings developed by J. Tits, which in turn extends the theory of root subgroups of Chevalley groups. The book is of interest to mathematicians working in different areas such as finite group theory, classsical groups, algebraic and Lie-type groups, buildings and generalized polygons. It will also be welcomed by the graduate student in any of the above subjects, as well as the researcher working in any of these areas. Parts of it can also be used for graduate classes. Large parts of the book are self-contained and accessible with reasonable knowledge in abstract group theory and classical groups. Its main purpose is to give complete and partially new proofs of results that are quite unaccessible in the literature.





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Item Specifications...


Pages   400
Est. Packaging Dimensions:   Length: 9.1" Width: 6.4" Height: 1.2"
Weight:   2 lbs.
Binding  Hardcover
Release Date   Aug 15, 2001
Publisher   Birkhäuser Basel
ISBN  3764365323  
ISBN13  9783764365325  


Availability  133 units.
Availability accurate as of Jan 20, 2017 07:46.
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Product Categories

1Books > Subjects > Medicine > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > Linear
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General
7Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > Linear
8Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory



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