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18.95 (2014)

Solved

Suppose that a group $G = AB$ is a product of an abelian subgroup $A$ and a locally quaternion group $B$ (that is, $B$ is a union of an increasing chain of finite generalized quaternion groups). Is $G$ soluble?

Contributor: A. I. Sozutov

Progress

Yes, it is (B. Amberg, Ya. Sysak, On products of groups with abelian subgroups of small index, J. Group Theory, 20, no. 6 (2017), 1061–1072).

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