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Noûs, 2017
AbstractA group is often construed as one agent with its own probabilistic beliefs (credences), which are obtained by aggregating those of the individuals, for instance through averaging. In their celebrated “Groupthink”, Russell et al. (2015) require group credences to undergo Bayesian revision whenever new information is learnt, i.e., whenever ...
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AbstractA group is often construed as one agent with its own probabilistic beliefs (credences), which are obtained by aggregating those of the individuals, for instance through averaging. In their celebrated “Groupthink”, Russell et al. (2015) require group credences to undergo Bayesian revision whenever new information is learnt, i.e., whenever ...
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The Theory of Proportionality as an Abstraction of Group Theory
Mathematische Annalen, 1955Die Verff. zeigen, daß die Permutation \(\sigma\) der Elemente der Gruppe \(G\) dann und nur dann dem Holomorph von \(G\) angehört, wenn \(\sigma\) die Proportionalitätsrelation \(ab^{-1}=cd^{-1}\) invariant läßt. Weiter geben Verff. eine axiomatische Charakterisierung dieser vierstelligen Proportionalitätsrelation.
Büchi, J. Richard, Wright, Jesse B.
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Rendiconti del Circolo Matematico di Palermo, 1980
An investigation into an algebraic system with a single binary operation, called a skew-group, based on axioms of associativity; skew-commutativity (x+y+z=x+z+y); right identity; and left inverse. Definitions are given for left coset, quotient skew-group, homorphism, kernel, and subnormal skew-subgroup.
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An investigation into an algebraic system with a single binary operation, called a skew-group, based on axioms of associativity; skew-commutativity (x+y+z=x+z+y); right identity; and left inverse. Definitions are given for left coset, quotient skew-group, homorphism, kernel, and subnormal skew-subgroup.
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Communications of the ACM, 1969
Computers are being applied to an increasingly diverse range of problems in group theory. The most important areas of application at present are coset enumeration, sub-group lattices, automorphism groups of finite groups, character tables, and commutator calculus.
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Computers are being applied to an increasingly diverse range of problems in group theory. The most important areas of application at present are coset enumeration, sub-group lattices, automorphism groups of finite groups, character tables, and commutator calculus.
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Appreciative Remarks on the Theory of Groups.
The Mathematical Gazette, 1903While it is clearly impossible for the average high school teacher of mathematics to become familiar with all the modern branches of this subject, it is desirable that he should not be totally ignorant of any extensive branch. The views of a number of eminent mathematicians often furnish one of the simplest as well as one of the ...
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Group Theory and Computational Linguistics
Journal of Logic, Language and Information, 1998The aim of this paper is to define a theory of linguistic description based solely on group structure involving the classical notions of non-commutative free group, conjugacy and group presentations. To do this, the author introduces the concept of \(G\)-grammar, which is a collection of lexical expressions (i.e.
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HYPERDEFINABLE GROUPS IN SIMPLE THEORIES
Journal of Mathematical Logic, 2001We study hyperdefinable groups, the most general kind of groups interpretable in a simple theory. After developing their basic theory, we prove the appropriate versions of Hrushovski's group quotient theorem and the Weil–Hrushovski group chunk theorem.
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