It may be appropriate to quote some other existing results on the subject. There are mostly two sources of computations of cohomology rings (not just in low degrees):
*** Jon Carlson's page: http://www.math.uga.edu/~lvalero/cohointro.html He computes the cohomology rings, as well as a wealth of relevant information about them, for all the groups of order dividing 64 (not a single group is missing). His programs are in Magma, and have benefited from specific tweaking from the team that developped Magma. *** David Green's page: http://www.math.uni-wuppertal.de/~green/Coho_v2/ (there are a couple of other locations or mirrors) Here you'll find some computations at odd primes as well as at 2, and some computations for very large groups (256 for example). The programs are in C. You'll be interested to know that David and one co- author whose name escapes me are currently re-writing the whole thing with SAGE. Normally a user-friendly interface should come with it. You might find my own computations relevant (under construction): http://www-irma.u-strasbg.fr/~guillot/research/cohomology_of_groups/index.html I have added information on Stiefel-Whitney classes and Steenrod operations. Most of the computations were in C++ but SAGE has also been crucially used (how else could you call GAP, mathematically process the information, download stuff from Carlson's page, call the C ++ programs, and then produce the HTML files, all in one language ?) Hope this helps. Pierre --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-forum URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~----------~----~----~----~------~----~------~--~---
