22 citations · 79 across the 29 of their papers we have counts for
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math.GR2021★ 1 cited
Groups, conjugation and powers
Markus Szymik, Torstein Vik
We introduce the notion of the power quandle of a group, an algebraic structure that forgets the multiplication but keeps the conjugation and the power maps. Compared with plain qu…
math.GR2014★ 22 cited
The homology of the Higman-Thompson groups
Markus Szymik, Nathalie Wahl
We prove that Thompson's group is acyclic, answering a 1992 question of Brown in the positive. More generally, we identify the homology of the Higman-Thompson groups …
math.GR2014★ 7 cited
Twisted homological stability for extensions and automorphism groups of free nilpotent groups
Markus Szymik
We prove twisted homological stability with polynomial coefficients for automorphism groups of free nilpotent groups of any given class. These groups interpolate between two extrem…