Some combinatorial aspects of finite Hamiltonian groups

Document Type : Research Paper


Faculty of Mathematics, "Al. I. Cuza" University


In this paper we provide explicit formulas for the number of elements/subgroups/cyclic subgroups of a given order and for the total number of subgroups/cyclic subgroups in a finite Hamiltonian group. The coverings with three proper subgroups and the principal series of such a group are also counted. Finally, we give a complete description of the lattice of characteristic subgroups of a finite Hamiltonian group.


Main Subjects

Volume 39, Issue 5 - Serial Number 5
October 2013
Pages 841-854
  • Receive Date: 03 September 2011
  • Revise Date: 12 June 2012
  • Accept Date: 19 June 2012
  • First Publish Date: 15 October 2013