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 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.
Fully inert subgroups of Abelian p-groups
SALCE, LUIGI;ZANARDO, PAOLO
2014
Abstract
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 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.File in questo prodotto:
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