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Communications in Algebra Volume 32, 2004 - Issue 10
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Original Articles

Fixed Subgroups are Compressed in Free Groups

A. Martino Centre de Recerca Matemàtica, Barcelona, Spain; Centre de Recerca Matemàtica, Barcelona, SpainCorrespondence[email protected]
&
E. Ventura Dept. Mat. Apl. III, Univ. Pol. Catalunya, Barcelona, Spain
Pages 3921-3935 | Received 01 Oct 2003, Published online: 24 Jun 2011

Citations (11)

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Read on this site (1)

Jianchun Wu, Enric Ventura & Qiang Zhang. (2020) Fixed subgroups in direct products of surface groups of Euclidean type. Communications in Algebra 48:7, pages 3003-3010.
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Articles from other publishers (10)

Ilir Snopce, Slobodan Tanushevski & Pavel Zalesskii. (2022) Retracts of Free Groups and a Question of Bergman. International Mathematics Research Notices 2022:11, pages 8280-8294.
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Vincent Guirardel & Camille Horbez. (2022) Boundaries of relative factor graphs and subgroup classification for automorphisms of free products. Geometry & Topology 26:1, pages 71-126.
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Mallika Roy & Enric Ventura. (2021) Degrees of compression and inertia for free-abelian times free groups. Journal of Algebra 568, pages 241-272.
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Camille Horbez & Richard Wade. (2020) Commensurations of subgroups of 𝑂𝑢𝑡(𝐹_{𝑁}). Transactions of the American Mathematical Society 373:4, pages 2699-2742.
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Mallika Roy & Enric Ventura. (2020) Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups. Journal of Pure and Applied Algebra 224:4, pages 106210.
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Vincent Guirardel & Gilbert Levitt. (2015) McCool groups of toral relatively hyperbolic groups. Algebraic & Geometric Topology 15:6, pages 3485-3534.
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Qiang Zhang, Enric Ventura & Jianchun Wu. (2015) Fixed subgroups are compressed in surface groups. International Journal of Algebra and Computation 25:05, pages 865-887.
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Enric Ventura. (2010) Computing fixed closures in free groups. Illinois Journal of Mathematics 54:1.
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A. Martino & E. Ventura. (2004) A description of auto-fixed subgroups in a free group. Topology 43:5, pages 1133-1164.
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Armando Martino. (2004) Intersections of automorphism fixed subgroups in the free group of rank three. Algebraic & Geometric Topology 4:1, pages 177-198.
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