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Valeriĭ Faĭziev
Pseudocharacters on a Class of Extensions of Free Groups
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| Published: |
September 12, 2000 |
| Keywords: |
Free group, extension of free groups, quasicharacter, pseudocharacter, linear space |
| Subject: |
20F99, 39B62, 39B82 |
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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(xn)=nϕ(x).
A description of the space of pseudocharacters on some
extensions of free groups is given.
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| Author information
Tver State Agricultural Academy, Tver Sakharovo, Russia
Valeriy.Fayziev@tversu.ru
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