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Abstract Root Subgroups and Simple Groups of Lie-Type
Franz Georg Timmesfeld
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Description for Abstract Root Subgroups and Simple Groups of Lie-Type
Hardback. Systematically treats 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. Series: Monographs in Mathematics. Num Pages: 389 pages, biography. BIC Classification: PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 23. Weight in Grams: 747.
It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the class of transpositions of a symmetric group possesses this property. Namely the order of the product (ij)(kl) is 1, 2 or 3 according as {i,j} n {k,l} consists of 2,0 or 1 element. In fact, if I{i,j} n {k,I}1 = 1 and j ... Read more
It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the class of transpositions of a symmetric group possesses this property. Namely the order of the product (ij)(kl) is 1, 2 or 3 according as {i,j} n {k,l} consists of 2,0 or 1 element. In fact, if I{i,j} n {k,I}1 = 1 and j ... Read more
Product Details
Format
Hardback
Publication date
2001
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
389
Condition
New
Series
Monographs in Mathematics
Number of Pages
389
Place of Publication
Basel, Switzerland
ISBN
9783764365325
SKU
V9783764365325
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Abstract Root Subgroups and Simple Groups of Lie-Type
"The book is well written: the style is concise but not hard and most of the book is not too difficult to read for a graduate student. Some parts of it are certainly suited for a class."
Mathematical Reviews
Mathematical Reviews