Groups with metamodular subgroup lattice

M. De Falco, et al. "Groups with metamodular subgroup lattice." Colloquium Mathematicae 95.2 (2003): 231-240. <http://eudml.org/doc/284889>.

@article{M2003,
abstract = {A group G is called metamodular if for each subgroup H of G either the subgroup lattice 𝔏(H) is modular or H is a modular element of the lattice 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.},
author = {M. De Falco, F. de Giovanni, C. Musella, R. Schmidt},
journal = {Colloquium Mathematicae},
keywords = {metamodular subgroup lattices; modular lattices; modular elements; periodic locally graded metamodular groups; finite normal subgroups; modular subgroup lattices},
language = {eng},
number = {2},
pages = {231-240},
title = {Groups with metamodular subgroup lattice},
url = {http://eudml.org/doc/284889},
volume = {95},
year = {2003},
}

TY - JOUR
AU - M. De Falco
AU - F. de Giovanni
AU - C. Musella
AU - R. Schmidt
TI - Groups with metamodular subgroup lattice
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 2
SP - 231
EP - 240
AB - A group G is called metamodular if for each subgroup H of G either the subgroup lattice 𝔏(H) is modular or H is a modular element of the lattice 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.
LA - eng
KW - metamodular subgroup lattices; modular lattices; modular elements; periodic locally graded metamodular groups; finite normal subgroups; modular subgroup lattices
UR - http://eudml.org/doc/284889
ER -