Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups 0198531990, 9780198531999

This atlas covers groups from the families of the classification of finite simple groups. Recently updated incorporating

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English Pages [296] Year 1986

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Table of contents :
Cover
Atlas of Finite Groups
Copyright
Contents
The Groups
Introduction
1. A survey of the finite simple groups
2. The classical groups
3. The Chevalley and twisted Chevalley groups
4. How to read this ATLAS: the "constructions' sections
5. How to read this ATLAS: information about subgroups and their structure
6. How to read this ATLAS: The map of an ATLAS character table
7. How to read this ATLAS: character tables
8. Concluding remarks
Addenda & Corrigenda
The Groups
A5≅L2(4)≅L2(5)
L3(2)≅L2(7)
A6≅L2(9)≅S4(2)'
L2(8)≅R(3)'
L2(11)
L2(13)
L2(17)
A7
L2(19)
L2(16)
L3(3)
U3(3)≅G2(2)'
L2(23)
L2(25)
M11
L2(27)
L2(29)
L2(31)
A8≅L4(2)
L3(4)
U4(2)≅S4(3)
Sz(8)
L2(32)
U3(4)
M12
U3(5)
J1
A9
L3(5)
M22
J2=HJ=F5-
S4(4)
S6(2)
A10
L3(7)
U4(3)
G2(3)
S4(5)
U3(8)
U3(7)
L4(3)
L5(2)
M23
U5(2)
L3(8)
2F4(2)'
A11
L3(9)
U3(9)
HS
J3
U3(11)
O8+(2)
O8-(2)
3D4(2)
L3(11)
A12
M24
G2(4)
McL
A13
He≅F7
O7(3)
S6(3)
G2(5)
U6(2)
R(27)
S8(2)≅B4(2)≅O9(2)
Ru
Suz
O'N
Co3
O8+(3)
O8-(3)
O10+(2)
O10-(2)
Co2
Fi22
HN=F5+
F4(2)
Ly
Th=F3|3
Fi23
F2-=Co1
J4
2E6(2)
E6(2)
Fi24'=F3+
B=F2+
E7(2)
M=F1
E8(2)
Partitions and the classes and characters of Sn
Involvement of sporadic groups in one another
Order of simple groups
Bibliography
Index of groups

Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups
 0198531990, 9780198531999

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