|
|
|
|
LEADER |
00000nam a22000008i 4500 |
001 |
in00005575521 |
003 |
OCoLC |
005 |
20220616145056.0 |
006 |
m|||||o||d|||||||| |
007 |
cr ||||||||||| |
008 |
100430s1997||||enk o ||1 0|eng|d |
020 |
|
|
|a 9780511759413 (ebook)
|
020 |
|
|
|z 9780521571968 (hardback)
|
020 |
|
|
|z 9780521101028 (paperback)
|
035 |
|
|
|a CR9780511759413
|
040 |
|
|
|a UkCbUP
|b eng
|e rda
|c UkCbUP
|d UtOrBLW
|
049 |
|
|
|a QEMP
|
050 |
0 |
0 |
|a QA177
|b .A79 1997
|
082 |
0 |
0 |
|a 512.2
|2 21
|
100 |
1 |
|
|a Aschbacher, Michael,
|d 1944-
|e author.
|0 http://id.loc.gov/authorities/names/n79108158
|
245 |
1 |
0 |
|a 3-transposition groups /
|c Michael Aschbacher.
|
264 |
|
1 |
|a Cambridge :
|b Cambridge University Press,
|c 1997.
|
300 |
|
|
|a 1 online resource (vii, 260 pages) :
|b digital, PDF file(s).
|
336 |
|
|
|a text
|b txt
|2 rdacontent
|
337 |
|
|
|a computer
|b c
|2 rdamedia
|
338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
490 |
1 |
|
|a Cambridge tracts in mathematics ;
|v 124
|
500 |
|
|
|a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
|
505 |
0 |
|
|a pt. I. Fischer's Theory. 1. Preliminaries. 2. Commuting graphs of groups. 3. The structure of 3-transposition groups. 4. Classical groups generated by 3-transpositions. 5. Fischer's Theorem. 6. The geometry of 3-transposition groups -- pt. II. The existence and uniqueness of the Fischer groups. 7. Some group extensions. 8. Almost 3-transposition groups. 9. Uniqueness systems and coverings of graphs. 10. U[subscript 4](3) as a subgroup of U[subscript 6](2). 11. The existence and uniqueness of the Fischer groups -- pt. III. The local structure of the Fischer groups. 12. The 2-local structure of the Fischer groups. 13. Elements of order 3 in orthogonal groups over GF(3). 14. Odd locals in Fischer groups. 15. Normalizers of subgroups of prime order in Fischer groups.
|
520 |
|
|
|a In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and in the process discovered three new sporadic groups, now known as the Fischer groups. Since then, the theory of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place. Fischer's result, while important and deep (covering a number of complex examples), can be understood by any student with some knowledge of elementary group theory and finite geometry. Thus Part I has minimal prerequisites and could be used as a text for an intermediate level graduate course. Parts II and III are aimed at specialists in finite groups and are a step in the author's program to supply a strong foundation for the theory of sporadic groups.
|
650 |
|
0 |
|a Finite groups.
|0 http://id.loc.gov/authorities/subjects/sh85048354
|
776 |
0 |
8 |
|i Print version:
|a Aschbacher, Michael, 1944-
|t 3-transposition groups
|z 9780521571968.
|
830 |
|
0 |
|a Cambridge tracts in mathematics ;
|v 124.
|0 http://id.loc.gov/authorities/names/n42005726
|
856 |
4 |
0 |
|u http://ezproxy.msu.edu/login?url=http://dx.doi.org/10.1017/CBO9780511759413
|z Connect to online resource - MSU authorized users
|t 0
|
907 |
|
|
|y .b119438628
|b 211128
|c 160728
|
998 |
|
|
|a wb
|b 160728
|c m
|d a
|e -
|f eng
|g enk
|h 0
|i 3
|
999 |
f |
f |
|i 0945163e-e51a-5583-b700-e1f04dbaf8de
|s d1f9c484-9d41-5ec1-911b-d5338e8d1c2f
|t 0
|
952 |
f |
f |
|p Non-Circulating
|a Michigan State University-Library of Michigan
|b Michigan State University
|c MSU Online Resource
|d MSU Online Resource
|t 0
|e QA177 .A79 1997
|h Library of Congress classification
|i Electronic Resource
|j Online
|n 1
|
856 |
4 |
0 |
|t 0
|u http://ezproxy.msu.edu/login?url=http://dx.doi.org/10.1017/CBO9780511759413
|y Connect to online resource - MSU authorized users
|