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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 44, Issue 1, Pages 119–141
DOI: https://doi.org/10.1070/IM1995v044n01ABEH001585 (Mi im818) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Pseudocharacters on free groups

V. A. Faiziev
English version PDF (1046 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1995v044n01ABEH001585
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 $f(x^n)=nf(x)$ $\forall\,n\in\mathbf Z$, $\forall\,x\in F$.
Received: 21.10.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1994, Volume 58, Issue 1, Pages 121–143
Bibliographic databases:
UDC: 519.46
MSC: 20C15, 20E05
Language: English
Original paper language: Russian
Citation: V. A. Faiziev, “Pseudocharacters on free groups”, Izv. RAN. Ser. Mat., 58:1 (1994), 121–143; Russian Acad. Sci. Izv. Math., 44:1 (1995), 119–141
Citation in format AMSBIB
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\by V.~A.~Faiziev
\paper Pseudocharacters on free groups
\jour Izv. RAN. Ser. Mat.
\yr 1994
\vol 58
\issue 1
\pages 121--143
\mathnet{http://mi.mathnet.ru/im818}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1271517}
\zmath{https://zbmath.org/?q=an:0829.20016}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1995IzMat..44..119F}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 1
\pages 119--141
\crossref{https://doi.org/10.1070/IM1995v044n01ABEH001585}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995QU91700006}
Linking options:
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  • https://doi.org/10.1070/IM1995v044n01ABEH001585
  • https://www.mathnet.ru/eng/im/v58/i1/p121
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:244
    Russian version PDF:80
    English version PDF:7
    References:38
    First page:2
     
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