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A study of the Wamsley group and its Sylow subgroups

Published 12 Jan 2024 in math.GR | (2401.06585v1)

Abstract: We study the Wamsley group $\langle X,Y,Z\,|\, XZ=X\alpha, {}Z Y=Y\beta, Z\gamma=[X,Y]\rangle$ and its Sylow subgroups, where $\alpha\gamma\neq 1\neq \beta\gamma$ and $\gamma>0$, obtaining the sharpest results when $\alpha=\beta$.

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