Some combinatorial aspects of finite Hamiltonian groups
نویسنده
چکیده مقاله:
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.
منابع مشابه
some combinatorial aspects of finite hamiltonian groups
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 h...
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عنوان ژورنال
دوره 39 شماره 5
صفحات 841- 854
تاریخ انتشار 2013-10-15
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