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math.GR2026
Commutator relators of one-relator groups do not force Hopficity, residual finiteness, or automaticity
Ke Wang, Qiang Zhang
Let be a one-relator group with the relator or , where is a finitely generated free group. Baumslag asked…
math.GR2025
Classification of Fixed Subgroups of Endomorphisms in Free-abelian Times Surface Groups
Ke Wang, Qiang Zhang, Dongxiao Zhao
In this paper, we first study the endomorphisms of free-abelian times surface groups and give a characterization of when they are injective and surjective. Then, we see that free-a…