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4.19 (1973)

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Denote by $\mathfrak{C}$ the class of all groups $G$ with the following property: if $U$ and $V$ are maximal locally soluble subgroups of $G$, then $U$ and $V$ are conjugate in $G$ (or at least isomorphic). It is almost obvious that a finite group $G$ belongs to $\mathfrak{C}$ if and only if $G$ is soluble. What can be said about the locally finite groups in $\mathfrak{C}$?

Contributor: R. Baer

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