Glasnik matematički, Vol. 40 No. 2, 2005.
Original scientific paper
Finite p-groups with a uniqueness condition for non-normal subgroups
Zvonimir Janko
Abstract
We determine up to isomorphism all finite p-groups G which possess non-normal subgroups and each non-normal subgroup is contained in exactly one maximal subgroup of G. For p = 2 this problem was essentially more difficult and we obtain in that case two new infinite families of finite 2-groups.
Keywords
Finite p-groups; minimal nonabelian p-groups; 2-groups of maximal class; Hamiltonian groups
Hrčak ID:
375
URI
Publication date:
9.11.2005.
Visits: 997 *