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math.GR2025
On the structure of groups defined by Kim and Manturov
Carl-Fredrik Nyberg-Brodda, Takuya Sakasai, Yuuki Tadokoro +1
We study the structure of a series of groups defined by Kim and Manturov. We show that the groups are finite for all and in fact they are 2-step nilpotent -gro…
math.GR2025
On linguistic subsets of groups and monoids
André Carvalho, Carl-Fredrik Nyberg-Brodda
We study subsets of groups and monoids defined by language-theoretic means, generalizing the classical approach to the word problem. We expand on results by Herbst from 1991 to a m…