Geodesic
ON THE DIMENSION OF GROUPS THAT SATISFY CERTAIN CONDITIONS ON THEIR FINITE SUBGROUPS
Glasgow mathematical journal, Tome 64 (2022) no. 1, pp. 45-50

Voir la notice de l'article provenant de la source Cambridge

DOI

We say a group G satisfies properties (M) and (NM) if every nontrivial finite subgroup of G is contained in a unique maximal finite subgroup, and every nontrivial finite maximal subgroup is self-normalizing. We prove that the Bredon cohomological dimension and the virtual cohomological dimension coincide for groups that admit a cocompact model for EG and satisfy properties (M) and (NM). Among the examples of groups satisfying these hypothesis are cocompact and arithmetic Fuchsian groups, one-relator groups, the Hilbert modular group, and 3-manifold groups. 
SALDAÑA, LUIS JORGE SÁNCHEZ. ON THE DIMENSION OF GROUPS THAT SATISFY CERTAIN CONDITIONS ON THEIR FINITE SUBGROUPS. Glasgow mathematical journal, Tome 64 (2022) no. 1, pp. 45-50. doi: 10.1017/S0017089520000531
@article{10_1017_S0017089520000531,
     author = {SALDA\~NA, LUIS JORGE S\'ANCHEZ},
     title = {ON {THE} {DIMENSION} {OF} {GROUPS} {THAT} {SATISFY} {CERTAIN} {CONDITIONS} {ON} {THEIR} {FINITE} {SUBGROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {45--50},
     year = {2022},
     volume = {64},
     number = {1},
     doi = {10.1017/S0017089520000531},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000531/}
}
TY  - JOUR
AU  - SALDAÑA, LUIS JORGE SÁNCHEZ
TI  - ON THE DIMENSION OF GROUPS THAT SATISFY CERTAIN CONDITIONS ON THEIR FINITE SUBGROUPS
JO  - Glasgow mathematical journal
PY  - 2022
SP  - 45
EP  - 50
VL  - 64
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000531/
DO  - 10.1017/S0017089520000531
ID  - 10_1017_S0017089520000531
ER  - 
%0 Journal Article
%A SALDAÑA, LUIS JORGE SÁNCHEZ
%T ON THE DIMENSION OF GROUPS THAT SATISFY CERTAIN CONDITIONS ON THEIR FINITE SUBGROUPS
%J Glasgow mathematical journal
%D 2022
%P 45-50
%V 64
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000531/
%R 10.1017/S0017089520000531
%F 10_1017_S0017089520000531

Cité par Sources :