Results 21 to 30 of about 7,845,575 (284)
FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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On free subgroups of finite exponent in circle groups of free nilpotent algebras [PDF]
International Journal of Group Theory, 2019 Let $K$ be a commutative ring with identity and $N$ the free nilpotent $K$-algebra on a non-empty set $X$. Then $N$ is a group with respect to the circle composition. We prove that the subgroup generated by $X$ is relatively free in a suitable class
Juliane Hansmann
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AUTOMORPHISM GROUPS OF FREE GROUPS [PDF]
Journal of the Australian Mathematical Society, 2008 Abstract This note contains some remarks on generating pairs for automorphism groups of free groups. There has been significant use of electronic assistance. Little of this is used to verify the results.
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Discrete logarithms in free groups [PDF]
, 2004 For the free group on n generators we prove that the discrete logarithm is distributed according to the standard Gaussian when the logarithm is renormalized appropriately.Comment: 9 pages, 1 figure, Corrects a mistake in the Introduction and Section
Communicated Wen-ching Winnie Li +3 more
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Big free groups are almost free [PDF]
International Journal of Algebra and Computation, 2015 It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism. This statement is in fact a simple corollary of the more general result proven below on the extendability of homomorphisms from ...
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Transactions of the American Mathematical Society, 1986 In this paper we introduce the class of torsion free k k -groups and the notion of a knice subgroup. Torsion free k k -groups form a class of groups more extensive than the separable groups of Baer, but they enjoy many of the same closure properties.
Hill, Paul, Megibben, Charles
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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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Automorphisms of free groups with boundaries [PDF]
, 2004 The automorphisms of free groups with boundaries form a family of groups A_{n,k} closely related to mapping class groups, with the standard automorphisms of free groups as A_{n,0} and (essentially) the symmetric automorphisms of free groups as A_{0,k ...
Brown +8 more
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Topology and its Applications, 2023 17 pages, 2 ...
Jeremy Brazas, Sarah Emery
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The character of free topological groups II
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
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