login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of solvable conjugacy classes of subgroups of the alternating group.
0

%I #10 Apr 14 2013 11:47:13

%S 1,1,1,2,5,8,19,33,122,192,364,650,2194,3845

%N Number of solvable conjugacy classes of subgroups of the alternating group.

%H Liam Naughton and Goetz Pfeiffer, <a href="http://arxiv.org/abs/1211.1911">Integer sequences realized by the subgroup pattern of the symmetric group</a>, arXiv:1211.1911

%H Liam Naughton, <a href="http://www.maths.nuigalway.ie/~liam/CountingSubgroups.g">CountingSubgroups.g</a>

%H Liam Naughton and Goetz Pfeiffer, <a href="http://schmidt.nuigalway.ie/tomlib/">Tomlib, The GAP table of marks library</a>

%o (GAP) List(ConjugacyClassesSubgroups(AlternatingGroup(n)), x-> IsSolvableGroup(Representative(x)));

%K nonn,more

%O 0,4

%A _Liam Naughton_, Nov 12 2012