Document Type
Conference Paper
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Pure mathematics
Abstract
A subgroup P of an Abelian p-group G is said to be projection-invariant in G if Pf is contained in P for all idempotent endomorphisms f. Clearly fully invariant subgroups are projection invariant, but the converse is not true in general. Hausen and Megibben have shown that in many familiar situations these two concepts coincide. In a different direction, the authors have previously introduced the notions of socle-regular and strongly socle-regular groups by focussing on the socles of fully invariant and characteristic subgroups of p-groups. In the present work the authors examine the socles of projection-invariant subgroups of Abelian p-groups.
DOI
http://doi.org10.21427/ky8t-xx05
Recommended Citation
Goldsmith, B.: On Projection-Invariant Subgroups of Abelian P-Groups. AMS series. Forthcoming doi: 10.21427/ky8t-xx05
Publication Details
Paper presented at a conference in honour of R. Goebel and to appear in the AMS Conference series.