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arXiv · 2610.38841

Number of ends of conjugacy diagrams

Alexey V. Naianzin·Andronick A. Arutyunov
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Abstract

For each $n\geq 2$, we construct a finitely generated group $W_n$ with a conjugacy class such that the conjugacy diagram of this class has exactly $n$ ends. For this class, we compute the quotient spaces of the space of derivations of the group algebra $\mathbb{C}[W_n]$ modulo quasi-inner and inner derivations, as well as the corresponding component of the first Hochschild cohomology.

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Alexey V. Naianzin, Andronick A. Arutyunov. 2026-10-28. Number of ends of conjugacy diagrams. https://arxiv.org/abs/2610.38841

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