A representation of BG(1,2) by germs of continuous functions is shown to be non-faithful, negatively resolving Olshanskii's Problem 17.99.
The Baumslag-Gersten group and a problem of Olshanskii
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove that a certain representation of the Baumslag-Gersten one-relator group $\mathrm{BG}(1,2)$ by germs of continuous functions is not faithful. This gives a negative answer to a problem of A. Yu. Olshanskii from 2010 (Problem 17.99 in the Kourovka Notebook).
fields
math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The Baumslag-Gersten group and a problem of Olshanskii
A representation of BG(1,2) by germs of continuous functions is shown to be non-faithful, negatively resolving Olshanskii's Problem 17.99.