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The fully invariant subgroups of local Warfield groups
Authors:Steve T Files
Institution:Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
Abstract:We prove that every fully invariant subgroup of a $p$-local Warfield abelian group is the direct sum of a Warfield group and an $S$-group. This solves a problem posed some time ago by R. B. Warfield, and finalizes recent work of M. Lane concerning the fully invariant subgroups of balanced projective groups.

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