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math.GR2024
Computably locally compact groups and their closed subgroups
Alexander G. Melnikov, Andre Nies
Given a computably locally compact Polish space , we show that its 1-point compactification is computably compact. Then, for a computably locally compact group , we sho…
math.GR2023
Word automatic groups of nilpotency class 2
Andre Nies, Frank Stephan
We consider word automaticity for groups that are nilpotent of class and have exponent a prime . We show that the infinitely generated free group in this variety is not word…