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arXiv · 2506.08050

On the structure of groups defined by Kim and Manturov

Carl-Fredrik Nyberg-Brodda·Takuya Sakasai·Yuuki Tadokoro·Kokoro Tanaka
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Abstract

We study the structure of a series of groups $\Gamma_n^4$ defined by Kim and Manturov. We show that the groups are finite for all $n \ge 6$ and in fact they are 2-step nilpotent $2$-groups.

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Carl-Fredrik Nyberg-Brodda, Takuya Sakasai, Yuuki Tadokoro, Kokoro Tanaka. 2025-06-09. On the structure of groups defined by Kim and Manturov. https://arxiv.org/abs/2506.08050

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