2 citations · 2 across the 8 of their papers we have counts for
10 papers
Mixed identities for simple locally finite groups
Henry Bradford, Kıvanç Ersoy, Jakob Schneider +1
A mixed identity of a group is a nontrivial word with constants that vanishes under every substitution of its variables. We derive lower bounds for the length of mixed identities i…
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 $…
Word maps with constants on symmetric groups
Jakob Schneider, Andreas Thom
We study word maps with constants on symmetric groups. Even though there are mixed identities of bounded length that are valid for all symmetric groups, we show that no such identi…
Isomorphism questions for metric ultraproducts of finite quasisimple groups
Jakob Schneider
New results on metric ultraproducts of finite simple groups are established. We show that the isomorphism type of a simple metric ultraproduct of groups () for…
On groups with unbounded Cayley graphs
Jakob Schneider
We show that every non-trivial compact connected group and every non-trivial general or special linear group over an infinite field admits a generating set such that the associated…
Word images in symmetric and classical groups of Lie type are dense
Jakob Schneider, Andreas Thom
Let be a non-trivial word and denote by the image of the associated word map . Let be one of the finite groups ${\rm S}_n,…
A note on the normal subgroup lattice of ultraproducts of finite quasisimple groups
Jakob Schneider, Andreas Thom
In [A. Stolz and A. Thom, On the lattice of normal subgroups in ultraproducts of compact simple groups, PLMS 108(1), 2014] it was stated that the lattice of normal subgroups of an…
Some remarks on finitarily approximable groups
Nikolay Nikolov, Jakob Schneider, Andreas Thom
The concept of a C-approximable group, for a class of finite groups C, is a common generalization of the concepts of a sofic, weakly sofic, and linear sofic group. Glebsky raised t…