135 citations · 163 across the 25 of their papers we have counts for
37 papers
On a question by Roggenkamp about group algebras
Dylan Johnston, Dmitriy Rumynin
We investigate whether the group algebra of a finite group over a localisation of the integers is semiperfect. The main result is a necessary and sufficient arithmetic criterion in…
Brauer's 14th Problem and Dyson's Tenfold Way
Dmitriy Rumynin, James Taylor
We consider Brauer's 14th Problem in the context of "Real" structures on finite groups and their antilinear representations. The problem is to count the number of characters of eac…
Disconnected Reductive Groups: Classification and Representations
Dylan Johnston, Diego Martín Duro, Dmitriy Rumynin
In this article, we classify (up to isomorphism) disconnected reductive groups over an algebraically closed field. For the fixed dimension and number of components, our results sho…
Global Representation Ring and Knutson Index
Dylan Johnston, Diego Martín Duro, Dmitriy Rumynin
Global representation rings were discovered by Sarah Witherspoon in 1995 and the Knutson Index was introduced by the second author in 2022. In the present paper we introduce the Kn…
On the 32-dimensional Rosenfeld projective plane
John Jones, Dmitriy Rumynin, Adam R. Thomas
Following on from arXiv:2310.14365 [math.AT], we make a detailed study of the -dimensional Rosenfeld projective plane which is the symmetric space EIII in Cartan's list of comp…
The classical topological invariants of homogeneous spaces
John Jones, Dmitriy Rumynin, Adam R. Thomas
We study the homogeneous spaces of a simply connected, compact, simple Lie group through the lens of K-theory. Our methods apply equally well to the case where is in one of…