Results 21 to 30 of about 27,799 (266)
Finite Homomorphic Images of Groups of Finite Rank
Siberian Mathematical Journal, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azarov, D. N., Romanovskii, N. S.
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Locally (Soluble-by-Finite) Groups of Finite Rank
Journal of Algebra, 1996 The authors prove the following result: A locally (soluble-by-finite) group with all locally soluble subgroups of finite rank is (locally soluble)-by-finite and of finite rank. After they have shown that the group is of finite rank the result follows from a theorem of N. S. Chernikov.
Dixon, Martyn R. +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2021 A group $G$ has a finite special rank $r$ if every finitely generated subgroup of $G$ is generated by at most $r$ elements and there is a finitely generated subgroup of $G$ which has exactly $r$ generators.
T.V. Velychko
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Approximation by finite rank operators with ranges in co
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper the author characterizes all those spaces X, for which Kn(X,co) is proximinal in L(X,co). Some examples were found that satisfy this characterization.
Aref Kamal
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Rank functions of closure spaces of finite rank
Discrete Mathematics, 1984 A closure space \((S,)\) consists of a set S together with a closure operator \(\). In such a space, the set X is closed if \(=X\) while the rank \(\rho\) (A) of a closed set A is the maximum length r of a chain of closed sets \(A_ i\) such that \(A_ 0\varsubsetneq A_ 1\varsubsetneq...\varsubsetneq A_ r=A\) where, if this maximum does not exist, \(\rho\
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Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]
International 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
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On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group
Известия Иркутского государственного университета: Серия "Математика", 2017 The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
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Ranks and pregeometries in finite diagrams
Annals of Pure and Applied Logic, 2000 Abstract: "The study of classes of models of a finite diagram was initiated by S. Shelah in 1969. A diagram D is a set of types over the empty set, and the class of models of the diagram D consists of the models of T which omit all the types not in D.
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Groups with minimax commutator subgroup [PDF]
International 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
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A remark on the rank of finite $p$-groups of birational automorphisms
Comptes Rendus. Mathématique, 2020 In this note, we improve a result of Prokhorov and Shramov on the rank of finite $p$-subgroups of the group of birational transformations of a rationally connected variety. Known examples show that the bounds obtained are optimal in many cases.
Xu, Jinsong
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