Geodesic
The diameter of products of finite simple groups
Ars Mathematica Contemporanea, Tome 22 (2022) no. 4, article no. 06, 8 p.

Voir la notice de l'article provenant de la source Ars Mathematica Contemporanea website

Following partially a suggestion by Pyber, we prove that the diameter of a product of non-abelian finite simple groups is bounded linearly by the maximum diameter of its factors. For completeness, we include the case of abelian factors and give explicit constants in all bounds.
DOI : 10.26493/1855-3974.2614.44c
Keywords: Finite simple groups, diameter 
@article{10_26493_1855_3974_2614_44c,
     author = {Daniele Dona},
     title = {The diameter of products of finite simple groups},
     journal = {Ars Mathematica Contemporanea},
     eid = {06},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2022},
     doi = {10.26493/1855-3974.2614.44c},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2614.44c/}
}
TY  - JOUR
AU  - Daniele Dona
TI  - The diameter of products of finite simple groups
JO  - Ars Mathematica Contemporanea
PY  - 2022
VL  - 22
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2614.44c/
DO  - 10.26493/1855-3974.2614.44c
LA  - en
ID  - 10_26493_1855_3974_2614_44c
ER  - 
%0 Journal Article
%A Daniele Dona
%T The diameter of products of finite simple groups
%J Ars Mathematica Contemporanea
%D 2022
%V 22
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2614.44c/
%R 10.26493/1855-3974.2614.44c
%G en
%F 10_26493_1855_3974_2614_44c
Daniele Dona. The diameter of products of finite simple groups. Ars Mathematica Contemporanea, Tome 22 (2022) no. 4, article  no. 06, 8 p. doi : 10.26493/1855-3974.2614.44c. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2614.44c/

Cité par Sources :