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Abstract root subgroups and simple groups of Lie-type

Abstract root subgroups and simple groups of Lie-type (Loan 1 times)

Material type
단행본
Personal Author
Timmesfeld, Franz Georg, 1943-
Title Statement
Abstract root subgroups and simple groups of Lie-type / Franz Georg Timmesfeld.
Publication, Distribution, etc
Boston :   Birkhauser Verlag,   c2001.  
Physical Medium
xiii, 389 p. : ill. ; 24 cm.
Series Statement
Monographs in mathematics ; v. 95
ISBN
3764365323 (alk. paper) 0817665323 (alk. paper)
Bibliography, Etc. Note
Includes bibliographical references (p. [373]-380) and indexes.
Subject Added Entry-Topical Term
Linear algebraic groups. Lie groups.
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008 010522s2001 maua b 001 0 eng
010 ▼a 01035932
020 ▼a 3764365323 (alk. paper)
020 ▼a 0817665323 (alk. paper)
040 ▼a DLC ▼c DLC ▼d OHX ▼d C#P ▼d 211009
042 ▼a pcc
049 1 ▼l 121063023 ▼f 과학
050 0 0 ▼a QA179 ▼b .T56 2001
072 7 ▼a QA ▼2 lcco
082 0 0 ▼a 512/.55 ▼2 21
090 ▼a 512.55 ▼b T584a
100 1 ▼a Timmesfeld, Franz Georg, ▼d 1943-
245 1 0 ▼a Abstract root subgroups and simple groups of Lie-type / ▼c Franz Georg Timmesfeld.
260 ▼a Boston : ▼b Birkhauser Verlag, ▼c c2001.
300 ▼a xiii, 389 p. : ▼b ill. ; ▼c 24 cm.
440 0 ▼a Monographs in mathematics ; ▼v v. 95
504 ▼a Includes bibliographical references (p. [373]-380) and indexes.
650 0 ▼a Linear algebraic groups.
650 0 ▼a Lie groups.
938 ▼a Otto Harrassowitz ▼b HARR ▼n har015019834 ▼c 220.00 DEM

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.55 T584a Accession No. 121063023 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

I Rank One Groups.- 1 Definition, examples, basic properties.- 2 On the structure of rank one groups.- 3 Quadratic modules.- 4 Rank one groups and buildings.- 5 Structure and embeddings of special rank one groups.- II Abstract Root Subgroups.- 1 Definitions and examples.- 2 Basic properties of groups generated by abstract root subgroups.- 3 Triangle groups.- 4 The radical R(G).- 5 Abstract root subgroups and Lie type groups.- III Classification Theory.- 1 Abstract transvection groups.- 2 The action of G on ?.- 3 The linear groups and EK6.- 4 Moufang hexagons.- 5 The orthogonal groups.- 6 D4(k).- 7 Metasymplectic spaces.- 8 E6(k),E7(k) and E8(k).- 9 The classification theorems.- IV Root involutions.- 1 General properties of groups generated by root involutions.- 2 Root subgroups.- 3 The Root Structure Theorem.- 4 The Rank Two Case.- V Applications.- 1 Quadratic pairs.- 2 Subgroups generated by root elements.- 3 Local BN-pairs.- References.- Symbol Index.


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