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並前往https://www.impan.pl/en/publishing-house/journals-and-series/colloquium-mathematicum/all/137/2/87844/a-note-on-groups-of-infinite-rank-whose-proper-subgroups-are-abelian-by-finite

A note on groups of infinite rank whose proper subgroups are ...

It is proved that if $G$ is a locally (soluble-by-finite) group of infinite rank in which every proper subgroup of infinite rank contains an abelian ...

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