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Finite rank and pseudofinite groups [PDF]
, 2018 It is proven that an infinite finitely generated group cannot be elementarily equivalent to an ultraproduct of finite groups of a given Pr\"ufer rank.
Daniel Palacín
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Finite rank intermediate Hankel operators and the big Hankel operator [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Let La2 be a Bergman space. We are interested in an intermediate Hankel operator HφM from La2 to a closed subspace M of L2 which is invariant under the multiplication by the coordinate function z.
Tomoko Osawa
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A remark on the rank of finite $p$-groups of birational automorphisms [PDF]
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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Topological mixing properties of rank‐one subshifts
Transactions of the London Mathematical Society, 2019 We study topological mixing properties and the maximal equicontinuous factor of rank‐one subshifts as topological dynamical systems. We show that the maximal equicontinuous factor of a rank‐one subshift is finite. We also determine all the finite factors
Su Gao, Caleb Ziegler
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Finite groups of conjugate rank 2 [PDF]
Nagoya Mathematical Journal, 1974 In 1953 N. Itô defined the conjugate rank of a finite group as the number of distinct sizes, not equal to 1, of the conjugacy classes of the group [7].
A. R. Camina
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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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FINITE RANK RIESZ OPERATORS [PDF]
Glasgow Mathematical Journal, 2013 AbstractWe provide conditions under which a Riesz operator defined on a Banach space is a finite rank operator.
Koumba, U., Raubenheimer, H.
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On the relationships between the factors of the upper and lower central series in some non-periodic groups [PDF]
International Journal of Group Theory, 2018 This paper deals with the mutual relationships between the factor group $G/zeta(G)$ (respectively $G/zeta_k(G)$) and $G'$ (respectively $gamma_{k+1}(G)$ and $G^{mathfrak{N}}$).
Martyn Dixon +2 more
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Invariable generation of groups of finite rank [PDF]
Advances in Group Theory and Applications, 2018 We prove that the minimal cardinality of an invariable generating set for a finite group G can be bounded in terms of the rank of G and we discuss some related questions.
Eloisa Detomi +2 more
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Some remarks about groups of finite special rank [PDF]
Advances in Group Theory and Applications, 2016 The paper presents some results about groups of finite special and section ranks. For instance, among others, it was proved that if every locally (soluble minimax) subgroup of a generalized radical group G has finite special rank, then G has finite ...
L.A. Kurdachenko +2 more
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