Simple closed curves, finite covers of surfaces, and power subgroups of \(\mathrm{Out}(F_n)\)

DOI10.1215/00127094-2019-0022zbMath1432.57041arXiv1708.06486OpenAlexW2747804159MaRDI QIDQ2336101

Andrew Putman, Justin Malestein

Publication date: 18 November 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06486

zbMATH Keywords

linear representationsmapping class groupsurfacesrestricted Lie algebras\(p\)-groupscovering spacesrepresentations of finite groupscentral seriestransvectionssimple closed curvesprimitivesouter automorphism group of the free group

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (9)

Curves with prescribed symmetry and associated representations of mapping class groups ⋮ The extrinsic primitive torsion problem ⋮ Lifts of simple curves in finite regular coverings of closed surfaces ⋮ Subrepresentations in the homology of finite covers of graphs ⋮ Graph Coverings and (Im)primitive Homology: Examples of Low Degree ⋮ The second variation of the Hodge norm and higher Prym representations ⋮ Applications of quantum representations of mapping class groups ⋮ Simple closed curves in stable covers of surfaces ⋮ Arithmetic quotients of the automorphism group of a right-angled Artin group

Uses Software

• MathOverflow

Cites Work

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