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math.GR2025
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…
math.GR2018
Cocompact Lattices in Locally Pro--complete Rank 2 Kac-Moody Groups
Inna Capdeboscq, Katerina Hristova, Dmitriy Rumynin
We initiate an investigation of lattices in a new class of locally compact groups, so called locally pro--complete Kac-Moody groups. We discover that in rank 2 their cocompact l…