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On Algebraic and Definable Closures for Theories of Abelian Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj   +1 more source

Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]

open access: yesInternational Journal of Group Theory, 2016
A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
doaj  

Elementary abelian subgroups: from algebraic groups to finite groups [PDF]

open access: green, 2023
Jianbei An   +2 more
openalex   +1 more source

Groups with minimax commutator subgroup [PDF]

open access: yesInternational Journal of Group Theory, 2014
A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
doaj  

Strongly Base-Two Groups. [PDF]

open access: yesVietnam J Math, 2023
Burness TC, Guralnick RM.
europepmc   +1 more source

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