6 citations · 14 across the 19 of their papers we have counts for
6 papers · 1 filter
Non-singular word maps for linear groups
Henry Bradford, Jakob Schneider, Andreas Thom
We study the word image of words with constants in and show that it is large provided the word satisfies some natural conditions on its length and its critical consta…
The length of mixed identities for finite groups
Henry Bradford, Jakob Schneider, Andreas Thom
We prove that there exists a constant such that any finite group having no non-trivial mixed identity of length is an almost simple group with a simple group of Lie…
On the length of non-solutions to equations with constants in some linear groups
Henry Bradford, Jakob Schneider, Andreas Thom
We show that for any finite-rank free group , any word-equation in one variable of length with constants in fails to be satisfied by some element of of word-length $…
Amenability for unitary groups of C*-algebras
Vadim Alekseev, Max Schmidt, Andreas Thom
In this note we state a conjecture that characterizes unital C*-algebras for which the unitary group is amenable as a topological group in the norm topology. We prove the conjectur…
Common transversals for coset spaces of compact groups
Hiroshi Ando, Andreas Thom
Let be a Polish group and let be a compact subgroup. We prove that there exists a Borel set which is simultaneously a complete set of coset representat…
Some thoughts and experiments on Bergman's compact amalgamation problem
Michael Joswig, Mario Kummer, Andreas Thom +1
We study the question whether copies of in can be amalgamated in a compact group. This is the simplest instance of a fundamental open problem in the theory o…