On strong uniform dimension of locally finite groups

A. Sakowicz

Colloquium Mathematicae (2003)

  • Volume: 95, Issue: 2, page 207-216
  • ISSN: 0010-1354

Abstract

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We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.

How to cite

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A. Sakowicz. "On strong uniform dimension of locally finite groups." Colloquium Mathematicae 95.2 (2003): 207-216. <http://eudml.org/doc/284554>.

@article{A2003,
abstract = {We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.},
author = {A. Sakowicz},
journal = {Colloquium Mathematicae},
keywords = {subgroup lattices; strongly balanced lattices; locally uniform lattices; uniform dimension; locally finite groups},
language = {eng},
number = {2},
pages = {207-216},
title = {On strong uniform dimension of locally finite groups},
url = {http://eudml.org/doc/284554},
volume = {95},
year = {2003},
}

TY - JOUR
AU - A. Sakowicz
TI - On strong uniform dimension of locally finite groups
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 2
SP - 207
EP - 216
AB - We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.
LA - eng
KW - subgroup lattices; strongly balanced lattices; locally uniform lattices; uniform dimension; locally finite groups
UR - http://eudml.org/doc/284554
ER -

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