Research News

The preprint "Automatic continuity for groups whose torsion subgroups are small" by Daniel Keppeler, Philip Möller and Olga Varghese has been recently uploaded to the arXiv!

Link to the paper: arXiv:2106.12547

We prove that a group homomorphism φ:LG from a locally compact Hausdorff group L into a discrete group G either is continuous, or there exists a normal open subgroup NL such that φ(N) is a torsion group provided that G does not include Q or the p-adic integers Zp or the Prüfer p-group Z(p) for any prime p as a subgroup, and if the torsion subgroups of G are small in the sense that any torsion subgroup of G is artinian. In particular, if φ is surjective and G additionaly does not have non-trivial normal torsion subgroups, then φ is continuous.
As an application we obtain results concerning the continuity of group homomorphisms from locally compact Hausdorff groups to many groups from geometric group theory, in particular to automorphism groups of right-angled Artin groups and to Helly groups.

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Maths Seminar Chennai Mathematical Institute

On Tuesday 10 August, Yuri will give a virtual talk about 
 "Soluble matrix groups and twisted conjugacy classes"
at the Maths Seminar of the Chennai Mathematical Institute in India.
See you there!

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HaJeMaDre Algebra-Seminar

In a few weeks on 13 July, we will participate in the
 HaJeMaDre Algebra-Seminar,
the joint algebra seminar of the universities of Halle, Jena, Magdeburg and Dresden.

See you there!

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Last Modification: 21.05.2021 - Contact Person: P. Schwer