Pseudocharacters on free groups, invariant with respect to some types of endomorphisms

Autor:	D. Z. Kagan
Rok vydání:	2012
Předmět:	Statistics and Probability Discrete mathematics Pure mathematics Endomorphism Free product Applied Mathematics General Mathematics Mathematics::Rings and Algebras Free group Mathematics::General Topology Cyclic group Invariant (mathematics) Mathematics
Zdroj:	Journal of Mathematical Sciences. 186:644-650
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-012-1010-1
Popis:	We investigate methods for constructing nontrivial pseudocharacters on a free group Fn invariant with respect to certain types of endomorphisms. We find some conditions for endomorphisms of the free group under which there is a nontrivial pseudocharacter that is invariant with respect to these endomorphisms. We consider free products \( R = \tilde{R}*\prod\limits_{{i = k}}^n {\left\langle {{r_i}} \right\rangle } \), where one factor is Fn, and the other factor is a group on which there is a pseudocharacter. For such products we obtain a similar result about the conditions of existence of nontrivial pseudocharacters invariant with respect to certain endomorphisms.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::04bd8f61234af533b3fa7c5665fefaf6 https://doi.org/10.1007/s10958-012-1010-1 Zobrazit plný text záznamu Plný text ve formátu PDF