Search results for "Focal subgroup theorem"

Extension of a Schur theorem to groups with a central factor with a bounded section rank

2013

Abstract A well-known result reported by Schur states that the derived subgroup of a group is finite provided its central factor is finite. Here we show that if the p-section rank of the central factor of a locally generalized radical group is bounded, then so is the p-section rank of its derived subgroup. We also give an explicit expression for this bound.