Search: id:A104453
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%I A104453
%S A104453 8,72,216,1800,648,5400,1944,88200,27000,16200,10,5832,264600,0,48600,
%T A104453 17496,10672200,0,1323000,0,793800,20,243000,52488,0,32016600,405000,0,
%U A104453 9261000,2381400,0,157464
%N A104453 Smallest order for which there are n nonisomorphic finite Hamiltonian 
               groups, or 0 if no such order exists.
%D A104453 R. D. Carmichael, Introduction to the Theory of Groups of Finite Order, 
               New York, Dover, 1956.
%D A104453 J. C. Lennox and S.E. Stonehewer, Subnormal Subgroups of Groups, Oxford 
               University Press, 1987.
%D A104453 T. Pisanski, T.W. Tucker, The genus of low rank hamiltonian groups, Discrete 
               Math. 78 (1989),157-167.
%H A104453 B. Horvat, G. Jaklic and T. Pisanski, <a href="http://arXiv.org/abs/math.CO/
               0503183">On the number of Hamiltonian groups</a>
%H A104453 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               AbelianGroup.html">Abelian Group</a>
%H A104453 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HamiltonianGroup.html">Hamiltonian Group</a>
%F A104453 S_h(n) denotes the smallest number k for which exactly n nonisomorphic 
               hamiltonian groups of order k exist. Here 0 indicates the case when 
               n is not a product of partition numbers and S_h(n) does not exist.
%Y A104453 Cf. A000688, A063966, A104488, A104407, A104404, A104452.
%Y A104453 Sequence in context: A043932 A064015 A044576 this_sequence A143945 A082141 
               A054615
%Y A104453 Adjacent sequences: A104450 A104451 A104452 this_sequence A104454 A104455 
               A104456
%K A104453 nonn,hard
%O A104453 1,1
%A A104453 Boris Horvat (Boris.Horvat(AT)fmf.uni-lj.si), Gasper Jaklic (Gasper.Jaklic(AT)fmf.uni-lj.si), 
               Tomaz Pisanski (Tomaz.Pisanski(AT)fmf.uni-lj.si), Apr 19 2005

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