On uniform dimensions of finite groups

J. Krempa, and A. Sakowicz. "On uniform dimensions of finite groups." Colloquium Mathematicae 89.2 (2001): 223-231. <http://eudml.org/doc/283648>.

@article{J2001,
abstract = {Let G be any finite group and L(G) the lattice of all subgroups of G. If L(G) is strongly balanced (globally permutable) then we observe that the uniform dimension and the strong uniform dimension of L(G) are well defined, and we show how to calculate these dimensions.},
author = {J. Krempa, A. Sakowicz},
journal = {Colloquium Mathematicae},
keywords = {subgroup lattices; strongly balanced lattices; uniform dimensions; globally permutable lattices},
language = {eng},
number = {2},
pages = {223-231},
title = {On uniform dimensions of finite groups},
url = {http://eudml.org/doc/283648},
volume = {89},
year = {2001},
}

TY - JOUR
AU - J. Krempa
AU - A. Sakowicz
TI - On uniform dimensions of finite groups
JO - Colloquium Mathematicae
PY - 2001
VL - 89
IS - 2
SP - 223
EP - 231
AB - Let G be any finite group and L(G) the lattice of all subgroups of G. If L(G) is strongly balanced (globally permutable) then we observe that the uniform dimension and the strong uniform dimension of L(G) are well defined, and we show how to calculate these dimensions.
LA - eng
KW - subgroup lattices; strongly balanced lattices; uniform dimensions; globally permutable lattices
UR - http://eudml.org/doc/283648
ER -