Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups

Autor:	Fel'shtyn, Alexander, Jo, Jang Hyun, Lee, Jong Bum
Rok vydání:	2014
Předmět:	Mathematics - Group Theory Mathematics - Dynamical Systems Primary 20F65 Secondary 20F18 20F16
Druh dokumentu:	Working Paper
Popis:	We prove that the growth rate of an endomorphism of a finitely generated nilpotent group equals to the growth rate of induced endomorphism on its abelinization, generalizing the corresponding result for an automorphism in [14]. We also study growth rates of endomorphisms for specific solvable groups, lattices of Sol, providing a counterexample to a known result in [5] and proving that the growth rate is an algebraic number. Comment: Correct a typo
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1411.6360 Zobrazit plný text záznamu View this record from Arxiv