Geodesic
An evaluation of the Ph.~Hall function on rank~1 groups of Lie type
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 2, pp. 50-56

Voir la notice de l'article provenant de la source Math-Net.Ru

In 1936 Ph. Hall introduced the generalized $n$-th Eulerian function on finite groups and the associated function that is called the $n$-th Hall function. The values of the latter are estimated in the article for three of the four series of Lie type groups of rank 1. When $n=2$, these evaluations confirm the Wiegold conjecture for the groups. 
@article{VMJ_2012_14_2_a5,
     author = {Yu. Yu. Ushakov},
     title = {An evaluation of the {Ph.~Hall} function on rank~1 groups of {Lie} type},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {50--56},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a5/}
}
TY  - JOUR
AU  - Yu. Yu. Ushakov
TI  - An evaluation of the Ph.~Hall function on rank~1 groups of Lie type
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2012
SP  - 50
EP  - 56
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a5/
LA  - ru
ID  - VMJ_2012_14_2_a5
ER  - 
%0 Journal Article
%A Yu. Yu. Ushakov
%T An evaluation of the Ph.~Hall function on rank~1 groups of Lie type
%J Vladikavkazskij matematičeskij žurnal
%D 2012
%P 50-56
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a5/
%G ru
%F VMJ_2012_14_2_a5
Yu. Yu. Ushakov. An evaluation of the Ph.~Hall function on rank~1 groups of Lie type. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 2, pp. 50-56. http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a5/