Results 221 to 230 of about 3,935,925 (265)
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2015
In this paper, we introduce a logic to reason about group actions for groups that are defined by means of the majority rule. It is well known that majoritarian aggregation is subject to irrationality, as the results in social choice theory and judgment aggregation show.
Porello, Daniele
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In this paper, we introduce a logic to reason about group actions for groups that are defined by means of the majority rule. It is well known that majoritarian aggregation is subject to irrationality, as the results in social choice theory and judgment aggregation show.
Porello, Daniele
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1995
Summary: We introduce the notion of chaotic group actions and give a preliminary report on their properties. In particular, we show that a group \(G\) possesses a faithful chaotic action on some Hausdorff space if and only if \(G\) is residually finite. This gives an elementary unified proof of the residual finiteness of certain groups.
Cairns, G. +4 more
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Summary: We introduce the notion of chaotic group actions and give a preliminary report on their properties. In particular, we show that a group \(G\) possesses a faithful chaotic action on some Hausdorff space if and only if \(G\) is residually finite. This gives an elementary unified proof of the residual finiteness of certain groups.
Cairns, G. +4 more
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2020
This chapter provides the foundations for deriving a class of manifolds known as homogeneous spaces. It begins with a short review of group theory, introduces the concept of a group acting on a set, and defines the Grassmannians and Stiefel manifolds as homogenous manifolds arising from group actions of Lie groups. The last section provides an overview
Jean Gallier, Jocelyn Quaintance
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This chapter provides the foundations for deriving a class of manifolds known as homogeneous spaces. It begins with a short review of group theory, introduces the concept of a group acting on a set, and defines the Grassmannians and Stiefel manifolds as homogenous manifolds arising from group actions of Lie groups. The last section provides an overview
Jean Gallier, Jocelyn Quaintance
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2006
This chapter develops the basics of group theory, with particular attention to the role of group actions of various kinds. The emphasis is on groups in Sections 1–3 and on group actions starting in Section 6. In between is a two-section digression that introduces rings, fields, vector spaces over general fields, and polynomial rings over commutative ...
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This chapter develops the basics of group theory, with particular attention to the role of group actions of various kinds. The emphasis is on groups in Sections 1–3 and on group actions starting in Section 6. In between is a two-section digression that introduces rings, fields, vector spaces over general fields, and polynomial rings over commutative ...
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Actions of abelian groups on groups
Journal of Group Theory, 2007Let G be a group and A a finitely generated abelian subgroup of Aut(G). If G is the union of a finitely many A-orbits then G is finite.
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The evolving landscape of salivary gland tumors
Ca-A Cancer Journal for Clinicians, 2023Conor Steuer
exaly