Groups with metamodular subgroup lattice
Tom 95 / 2003
Colloquium Mathematicum 95 (2003), 231-240
MSC: Primary 20F24.
DOI: 10.4064/cm95-2-7
Streszczenie
A group is called metamodular if for each subgroup H of G either the subgroup lattice {{{\mathfrak L}}}(H) is modular or H is a modular element of the lattice {{{\mathfrak L}}}(G). Metamodular groups appear as the natural lattice analogues of groups in which every non-abelian subgroup is normal; these latter groups have been studied by Romalis and Sesekin, and here their results are extended to metamodular groups.
