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A subgroup H of an Abelian group G is said to be fully inert in G, if for every endomorphism ϕ of G, the factor group (H+ϕ(H))/H" role="presentation"> is finite. This notion arises in the study of the dynamical properties of endomorphisms (entropy). The principal result of this work is that fully inert subgroups of direct sums of cyclic p-groups are commensurable with fully invariant subgroups of the direct sum.
Goldsmith, B., Salce, L. & Zanardo, P. (2014) Fully Inert Subgroups of Abelian p-Groups, Journal of Algebra, Vol 419, 1 December 2014, Pages 332-349 DOI: 10.1016/j.jalgebra.2014.07.021