This article is cited in 7 papers

Pseudocharacters on free groups

V. A. Faiziev


Abstract: The perturbations of additive real characters on a free group $F$ are studied. A description is given of the space of its pseudocharacters, i.e., the real functions $f$ on $F$ such that the set $\{f(xy)-f(x)-f(y)$; $x,y\in F\}$ is bounded and $f(x^n)=nf(x)$ $\forall\,n\in\mathbf Z$, $\forall\,x\in F$.

UDC: 519.46

MSC: 20C15, 20E05

Received: 21.10.1992

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1995, 44:1, 119–141

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