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math.GR2026
Commutators of signed -cycles
Philipp Bader, Bernhard Böhmler, Patrick Wegener
We show that for each element of the commutator subgroup in the symmetric group resp. in the signed symmetric group $(\mathbb{Z}/2\mathbb{Z})^n\rtimes\m…
math.GT2026
A survey on mapping class groups of 3-manifolds
Philipp Bader, Rachael Boyd, Giulia Carfora +8
We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold . We provide a guide to the literature and sketch proofs for var…