 

Valeriĭ Faĭziev
Pseudocharacters on a Class of Extensions of Free Groups


Published: 
September 12, 2000 
Keywords: 
Free group, extension of free groups, quasicharacter, pseudocharacter, linear space 
Subject: 
20F99, 39B62, 39B82 


Abstract
A pseudocharacter of a
semigroup S is a real function ϕ on S
satisfying the following conditions.
 The set {ϕ(xy)ϕ(x)ϕ(y) : x,y∈ S} is
bounded.
 For x∈ S and n∈ N (and n∈ Z if S is a group),
ϕ(x^{n})=nϕ(x).
A description of the space of pseudocharacters on some
extensions of free groups is given.


Author information
Tver State Agricultural Academy, Tver Sakharovo, Russia
Valeriy.Fayziev@tversu.ru

