User w edwin clark - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T17:46:11Z http://mathoverflow.net/feeds/user/27704 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/118494/largest-permutation-group-without-2-cycles-or-3-cycles/118919#118919 Answer by W Edwin Clark for Largest permutation group without 2-cycles or 3-cycles W Edwin Clark 2013-01-14T20:24:54Z 2013-01-14T20:24:54Z <p>Two sequences motivated by this question made with a brute force GAP program:</p> <p><a href="https://oeis.org/A208232" rel="nofollow">https://oeis.org/A208232</a> and <a href="https://oeis.org/A208235" rel="nofollow">https://oeis.org/A208235</a></p> <p>Someone may like to extend these sequences.</p> http://mathoverflow.net/questions/107298/realizable-order-sequences-for-finite-groups/111102#111102 Answer by W Edwin Clark for Realizable Order Sequences for Finite Groups W Edwin Clark 2012-11-01T03:36:02Z 2012-11-01T03:36:02Z <p>At least for finite abelian groups the problem has been solved. See</p> <p>Isomorphism of Finite Abelian Groups, by Ronald McHaffey, The American Mathematical Monthly, Vol. 72, No. 1 (Jan., 1965), pp. 48-50, Stable URL: <a href="http://www.jstor.org/stable/2313001" rel="nofollow">http://www.jstor.org/stable/2313001</a></p> <p>The author essentially proves that if the sequence of orders of two finite abelian groups are the same then the groups are isomorphic. </p>