Results 11 to 20 of about 455,811 (328)
Groups in which Every Subgroup of Infinite Rank is Nearly Permutable [PDF]
Advances in Group Theory and Applications, 2017 In this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite rank have finite index in a permutable subgroup is investigated.
A.V. De Luca, R. Ialenti
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A theorem about linear rank inequalities that depend on the characteristic of the finite field
Selecciones Matemáticas, 2022 A linear rank inequality is a linear inequality that holds by dimensions of vector spaces over any finite field. A characteristic-dependent linear rank inequality is also a linear inequality that involves dimensions of vector spaces but this holds over ...
Victor Peña-Macias
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On the structure of groups admitting faithful modules with certain conditions of primitivity
Researches in Mathematics, 2023 In the paper we study structure of soluble-by-finite groups of finite torsion-free rank which admit faithful modules with conditions of primitivity. In particular, we prove that under some additional conditions if an infinite finitely generated linear ...
A.V. Tushev
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Random Rank-Dependent Expected Utility
Games, 2022 We present a novel characterization of random rank-dependent expected utility for finite datasets and finite prizes. As a byproduct, we obtain a characterization of random expected utility that works for finite datasets.
Nail Kashaev, Victor H. Aguiar
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Structure of Finite-Dimensional Protori
Axioms, 2019 A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
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Some Residual Properties of Finite Rank Groups
Моделирование и анализ информационных систем, 2014 The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
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Finiteness results for subgroups of finite extensions [PDF]
, 2014 We discuss in the context of finite extensions two classical theorems of Takahasi and Howson on subgroups of free groups. We provide bounds for the rank of the intersection of subgroups within classes of groups such as virtually free groups, virtually ...
Araujo, Vitor +2 more
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Relatively Free Algebras of Finite Rank [PDF]
, 2020 Let $\mathbb{K}$ be a field of characteristic zero and $B=B_0+B_1$ a finite dimensional associative superalgebra. In this paper we investigate the polynomial identities of the relatively free algebras of finite rank of the variety $\mathfrak V$ defined by the Grassmann envelope of $B$. We also consider the $k$-th Grassmann Envelope of $B$, $G^{(k)}(B)$,
de Mello, Thiago Castilho +1 more
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Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
Complex Manifolds, 2015 In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Ermakova Svetlana
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Surfaces of Finite Domain Rank [PDF]
Proceedings of the American Mathematical Society, 1970 In this paper it is shown that a surface has finite domain rank if and only if it is homeomorphic to a domain of a compact or closed surface.
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