This article is cited in 2 papers

An evaluation of the Ph. Hall function on rank 1 groups of Lie type

Yu. Yu. Ushakov

Siberian Federal University, Krasnoyarsk, Russia

Abstract: 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.

Key words: $n$-base of a group, generalized Eulerian function, Hall function, Lie type group.

UDC: 512.542.52

Received: 15.01.2011