Random Extensions of Free Groups and Surface Groups are Hyperbolic

DOI10.1093/imrn/rnv138zbMath1368.20060arXiv1501.02846OpenAlexW2964113767MaRDI QIDQ5744706

Giulio Tiozzo, Samuel J. Taylor

Publication date: 19 February 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02846

zbMATH Keywords

random walksfree groupfundamental grouphyperbolic groupclosed oriental surfacerandom extension

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05) Hyperbolic groups and nonpositively curved groups (20F67) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Probabilistic methods in group theory (20P05)

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