On Oct 16, 6:26 pm, Rob Beezer <goo...@beezer.cotse.net> wrote: > In introductory group theory, I like to be sure to expose the students > to every group of order 15 or less. As permutation groups, most of > these are easily available in Sage via cyclic permutation groups, > perhaps along with the function that builds direct products, dihedral > groups, etc. There are two gaps to fill though. Trac #7151 adds the > "quaternion group" (nonabelian, order 8). The remaining group is the > semidirect product of Z_3 by Z_4 (one presentation is <s, t; s^6 = 1, > s^3 = t^2, sts = t>). > > The nonabelian group of order 4 is known in Sage as the > "KleinFourGroup". > > My question: anybody know a succinct name for the above group of order > 12? I've seen it listed a few places as "T" - does that have a > history?
Wikipedia seems to call it a "dicyclic group": see <http://en.wikipedia.org/wiki/List_of_small_groups> <http://en.wikipedia.org/wiki/Dicyclic_group> The same name is given in <http://www.math.uconn.edu/~kconrad/blurbs/grouptheory/group12.pdf> and kconrad does not seem to have written the wikipedia page, so there are two independent sources. John --~--~---------~--~----~------------~-------~--~----~ To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
