Symmetry And Group

Atlas of finite groups: maximal subgroups and ordinary by John Horton Conway

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By John Horton Conway

This atlas covers teams from the households of the class of finite easy teams. lately up-to-date incorporating corrections

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The contents of this publication were used in classes given by means of the writer. the 1st used to be a one-semester path for seniors on the college of British Columbia; it used to be transparent that strong undergraduates have been completely able to dealing with ordinary workforce idea and its software to basic quantum chemical difficulties.

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A. Todd D. Enomoto H. N. Ward B. Srinivasan J. McKay and D. Wales D. Gabrysch D. C. Hunt J. S. Frame, A. Rudvalis, and collaborators B. Fischer, D. Livingstone, M. (2), [the Monster], and finally the Aachen 'CAS' team led by J. Neubtiser and H. Pahlings both for many original tables and for improvements, extensions, and corrections to many others. Among our group-theoretical colleagues at Cambridge who have used the A lr ILA§ and contributed tables, corrections, improvements, or criticism are David Benson, Patrick Brooke, Mike Guy, David Jackson, Gordon James, Peter Kleidman, Martin Liebeck, Nick Patterson, Larissa Queen, Alex Ryba, Jan Saxl, Peter Smith, and finally John Thompson, who has acted as our friend and mentor throughout.

02 6 0 0 Xl7 02 9 o 0 X18 02 15 -1 0 0 ind 1 6 3 2 3 4 3 6 3 6 5 15 15 -b5 * 5 rus ind 2 2 4 6 -1 -1 * * -1 0 0 * 8 24 24 5 30 15 10 15 30 0 8 + + + 5 rus ind 30 15 10 15 30 r2 0 6 rus ind * * * * * * -b5 24 24 6 * -b5 15 15 2 4 8 6 6 2 8 *7 y20 + + 12 rus ind 12 4 16 16 16 16 20 20 20 rus ind 20 * 1 * 7 X,. 2). 3 Character Abstract Linear Orthogonal 9 23 :7 23 :7: 3 1a+8a N( 2A 3) point isotropic point 18 28 °18 9:6 1a+9abc N(3A) 14 36 °14 7:6 1a+8a+9abc N(7ABC) @ @ @ 504 p power pi part ind [6] 1A @ 8 A A 2A x, + X2 + 7 -1 x, + 7 -1 x.

Simon Norton constructed the tables for a large number of extensions, including some particularly complicated ones. He has throughout acted as 'troubleshooter'-any difficult problem was automatically referred to him in the confident expectation that it would speedily be solved. Richard Parker was responsible for the initial 'mechanization' of the A lr ILA§ project, and also did a great part of the more tedious job of entering pre-existing tables into the computer. He has also computed a large number of modular character tables, intended for a later A lr ILA§ publication.

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