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

Ushakov Yu. Yu.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 2.

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.

Keywords: \(n\)-base of a group, generalized Eulerian function, Hall function, Lie type group

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