ATLAS of Finite Group Representations

This ATLAS of Group Representations has been prepared by Robert Wilson, Peter Walsh, Jonathan Tripp, Ibrahim Suleiman, Stephen Rogers, Richard Parker, Simon Norton, Simon Nickerson, Steve Linton, John Bray and Rachel Abbott (in reverse alphabetical order, because I'm fed up with always being last!).

Change of URL

The Birmingham mirror of this ATLAS is at http://web.mat.bham.ac.uk/atlas/, but is not as up-to-date.

The big red book

The ATLAS of Finite Groups (Conway, Curtis, Norton, Parker, Wilson, 1985) has been reprinted with corrections and additions (OUP, November 2003). It is available to order at £47.00 (I believe) from the OUP website. Ignore the fact that the publication date is given as 1985 - you will get the 2003 reprint. The binding is not as described by OUP ("spiralbound hardback") but spiralbound with a wraparound card cover (which has proved to be more durable in practice).

Contents

• Sporadic groups.
• Alternating groups.
• Linear groups.
• Other classical groups.
• Exceptional groups of Lie type.
• Miscellaneous groups.
• Challenge groups.

Information

• The format of the representations.
• Level 0 checks.
• Level 1 checks.
• A manual for the GAP interface.
• Information about filenames.
• Words and straight-line programs.
• Black box algorithms (NEW).
• The WORK still to be done to get this Atlas ready.

Links

• The GAP computer algebra system.
• The Magma computer algebra system.
• Michael Downward's sporadic group pages, including Magma programs for finding standard generators, maximal subgroups, checking presentations, etc.
• Some information about the modular atlas: intended at this stage mainly for contributors to the project, but includes useful information such as decomposition matrices for lots of groups.
• Thomas Breuer's irrationalities page. To be read with Frank Lübeck's Conway polynomials page.
• A link to John Bray's presentations of groups.
• A catalogue of lattices by Gabriele Nebe and Neil J. A. Sloane.
• Simon Norton's list of improvements to the ATLAS of Finite Groups is available here in HTML, dvi and PostScript formats.
  Errors not in the ATLAS of Brauer Characters are also listed here.

Go to ATLAS (version 1) page