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On Morphisms Between Connected Commutative Algebraic Groups over a Field of Characteristic 0. [PDF]
Transform GroupsDill GA.
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Nilpotent fixed-point-free automorphism groups and regular abelian Carter subgroups
, 2013 Enrico Jabara, Pablo Spiga
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Commutator Invariant Subgroups of Abelian Groups
Siberian Mathematical Journal, 2010The commutator \([\varphi,\psi]\) of two elements of a ring is the element \(\varphi\psi-\psi\varphi\). A subgroup \(H\) of an Abelian group \(A\) is commutator invariant if \([\varphi,\psi]H\subseteq H\) for all commutators in the endomorphism ring of \(A\).
A. Chekhlov
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Honest subgroups of abelian groups
Rendiconti del Circolo Matematico di Palermo, 1963A. Abian, Daryl J. Rinehart
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Pure subgroups of non-abelian groups
Publicationes Mathematicae Debrecen, 2022A footnote to this paper explains that it was written in 1961 and is now published to complete the record of the mathematical work of the late A. Kertész. Let n be a cardinal number. A subgroup G of a group H is called n-pure if every system of equations in the elements of G and a set of variables X with \(| X|
Kertész, A. +2 more
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SOLUTION TO THE UNIFORMLY FULLY INERT SUBGROUPS PROBLEM FOR ABELIAN GROUPS
Rocky Mountain Journal of Mathematics, 2023A famous conjecture attributed to Dardano-Dikranjan-Rinauro-Salce states that any uniformly fully inert subgroup of a given group is commensurable with a fully invariant subgroup (see, respectively, [5] and [6]).
A. Chekhlov, P. Danchev
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Precobalanced subgroups of abelian groups
Communications in Algebra, 1991A. Giovannitti, K. Rangaswamy
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