Udom Chotwattakawanit

The pre-periods of all endomorphisms of a finite cyclic group

Aveya Charoenpol, Napaporn Sarasit, Pongsaphat Prachumdang, Udom Chotwattakawanit

In this paper: Let G be a group. By Fitting’s lemma, if G is finite abelian and t is the pre-period of G, then G can be represented as the direct sum of kerf t and f t (G) for all endomorphisms f of G. In this paper...