Results 41 to 50 of about 455,559 (284)
Ranks for Families of Permutation Theories
Известия Иркутского государственного университета: Серия "Математика", 2019 The notion of rank for families of theories, similar to Morley rank for fixed theories, serves as a measure of complexity for given families. There arises a natural problem of describing a rank hierarchy for a series of families of theories.
N. D. Markhabatov
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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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Measuring cones and other thick subsets in free groups [PDF]
International Journal of Group Theory, 2018 In this paper we investigate the special automata over finite rank free groups and estimate asymptotic characteristics of sets they accept. We show how one can decompose an arbitrary regular subset of a finite rank free group into disjoint union of ...
Elizaveta Frenkel +1 more
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Indecomposable injective modules of finite Malcev rank over local commutative rings
, 2013 It is proven that each indecomposable injective module over a valuation domain $R$ is polyserial if and only if each maximal immediate extension $\widehat{R}$ of $R$ is of finite rank over the completion $\widetilde{R}$ of $R$ in the $R$-topology.
Couchot, Francois
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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].
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Functional Connectivity Linked to Cognitive Recovery After Minor Stroke
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri +7 more
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Construction of a Class of Real Array Rank Distance Codes
Journal of Electrical and Computer Engineering, 2023 Rank distance codes are known to be applicable in various applications such as distributed data storage, cryptography, space time coding, and mainly in network coding.
N. Suresh Babu +3 more
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Totally disconnected locally compact groups locally of finite rank
, 2015 We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-$\pi$ compact open subgroup for some finite set of primes $\pi ...
Wesolek, Phillip
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Inverse limits of finite rank free groups [PDF]
Journal of Group Theory, 2012 Abstract.We will show that the inverse limit of finite rank free groups with surjective connecting homomorphism is isomorphic either to a finite rank free group or to a fixed universal group. In other words, any inverse system of finite rank free groups which is not equivalent to an eventually constant system has the universal group as its limit.
Conner, Gregory R., Kent, Curtis
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang +8 more
wiley +1 more source