Results 281 to 290 of about 18,881,713 (299)
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Groups, Groups of Groups, and Complex Stability
SSRN Electronic Journal, 2010Many politically and economically important groups are themselves comprised of groups. Examples of such multilevel group structures include coalition governments, labor confederations and multinational agreements. This paper develops a model of multilevel group structures.
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Stable Groups and Algebraic Groups
Journal of the London Mathematical Society, 2000Let \(G\) be a stable, saturated group, \(p\) be the strong type of an element of \(G\), and \(\langle p\rangle\) be the smallest type-definable (over \(\text{acl}(\emptyset)\)) subgroup of \(G\) containing \(p^G\). By \textit{L. Newelski}'s theorem [Notre Dame J. Formal Logic 32, No.
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Canadian Journal of Mathematics, 1995
AbstractLetL/Kbe a finite Galois extension in characteristic ≠ 2, and consider a non-split Galois theoretical embedding problem overL/Kwith cyclic kernel of order 2. In this paper, we prove that if the Galois group ofL/Kis the direct product of two subgroups, the obstruction to solving the embedding problem can be expressed as the product of the ...
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AbstractLetL/Kbe a finite Galois extension in characteristic ≠ 2, and consider a non-split Galois theoretical embedding problem overL/Kwith cyclic kernel of order 2. In this paper, we prove that if the Galois group ofL/Kis the direct product of two subgroups, the obstruction to solving the embedding problem can be expressed as the product of the ...
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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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