Revistes Catalanes amb Accés Obert (RACO)

Solvable groups with many $BFC$-subgroups

O. D. Artemovych

Resum


We characterize the solvable groups without infinite properly ascending chains of non-$BFC$ subgroups and prove that a non-$BFC$ group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-$BFC$ subgroups.

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