The coincidence lefschetz number for self-maps of lie groups

Abstract EN

Let f, h :G -G be any two self maps of a compact connected oriented Lie group G.

In this paper, for each positive integer k , we associate an integer with fk,hk .We relate this number with Lefschetz coincidence number.

We deduce that for any two differentiable maps f, h : G-G, there exists a positive integer k such that k<λ +l , and there is a point x Є G such that fk (x) = hk (x) .where λ is the rank of G .