ATLAS of Finite Groups
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The ATLAS of Finite Groups, often simply known as the ATLAS, is a group theory book by John Horton Conway, Robert Turner Curtis, Simon Phillips Norton, Richard Alan Parker and Robert Arnott Wilson (with computational assistance from J. G. Thackray), published in December 1985 by Oxford University Press and reprinted with corrections in 2003 (ISBN 978-0-19-853199-9).[1] It lists basic information about 93 finite simple groups, the information being generally: its order, Schur multiplier, outer automorphism group, various constructions (such as presentations), conjugacy classes of maximal subgroups (with characters group action they define), and, most importantly, character tables (including power maps on the conjugacy classes) of the group itself and bicyclic extensions given by stem extensions and automorphism groups. In certain cases (such as for the Chevalley groups ), the character table is not listed and only basic information is given.
The ATLAS is a recognizable large format book (sized 420 mm by 300 mm) with a cherry red cardboard cover and spiral binding. The names of the authors, all six letters long, with initials for the first and second letter, are printed on the cover in the form of an array which evokes the idea of a character table.
The book was reappraised in 1995 in the title The Atlas of Finite Groups: Ten Years on.[2] It was the subject of an American Mathematical Society symposium at Princeton University in 2015, entitled Finite Simple Groups: Thirty Years of the Atlas and Beyond, Celebrating the Atlases and Honoring John Conway.[3]
The ATLAS is being continued in the form of an electronic database, the ATLAS of Finite Group Representations [4].
References[edit]
- ^ Thomas Breuer; Gunter Malle; E. A. O'Brien (2016-03-29). Reliability and reproducibility of Atlas information. Internet Archive. arXiv.org.
- ^ The atlas of finite groups, ten years on. Internet Archive. Cambridge, U.K. ; New York, NY, USA : Cambridge University Press. 1998. ISBN 978-0-521-57587-4.
{{cite book}}: CS1 maint: others (link) - ^ Bhargava, Manjul; Guralnick, Robert; Hiss, Gerhard; Lux, Klaus; Pham, Huu Tiep (2017). Finite Simple Groups: Thirty Years of the Atlas and Beyond (PDF). Princeton NJ: American Mathematical Society. ISBN 9781470436780.
{{cite book}}: CS1 maint: date and year (link) - ^ "ATLAS of Finite Group Representations - V3".
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