Franz G Timmesfeld

(Author)

Abstract Root Subgroups and Simple Groups of Lie-Type (2001)Paperback - 2001, 12 June 2012

Abstract Root Subgroups and Simple Groups of Lie-Type (2001)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Turbo Shipping
Part of Series
Monographs in Mathematics
Print Length
389 pages
Language
English
Publisher
Birkhauser
Date Published
12 Jun 2012
ISBN-10
3034875967
ISBN-13
9783034875967

Description

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 = k, then (ij)(kl) is the 3-cycle (ijl). After the preliminary papers [Fis66] and [Fis64] he succeeded in [Fis71J, [Fis69] to classify all finite "nearly" simple groups generated by such a class of 3-transpositions, thereby discovering three new finite simple groups called M(22), M(23) and M(24). But even more important than his classification theorem was the fact that he originated a new method in the study of finite groups, which is called "internal geometric analysis" by D. Gorenstein in his book: Finite Simple Groups, an Introduction to their Classification. In fact D. Gorenstein writes that this method can be regarded as second in importance for the classification of finite simple groups only to the local group-theoretic analysis created by J. Thompson.

Product Details

Author:
Franz G Timmesfeld
Book Edition:
2001
Book Format:
Paperback
Country of Origin:
NL
Date Published:
12 June 2012
Dimensions:
24.41 x 16.99 x 2.13 cm
ISBN-10:
3034875967
ISBN-13:
9783034875967
Language:
English
Location:
Basel
Pages:
389
Publisher:
Weight:
648.64 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.