Negative immersions and finite height mappings

Brahim Abdenbi; Daniel T. Wise

doi:10.1007/s11856-026-2902-y

Negative immersions and finite height mappings

Brahim Abdenbi
, Daniel T. Wise

Research output: Contribution to journal › Article › peer-review

Abstract

Given a monomorphism Ψ:H→F where H is a proper free factor of the free group F, we show the associated partial mapping torus X of Ψ has negative immersions iff H has finite height in π₁X if and only if Ψ is fully irreducible. We survey related properties and discuss possible directions to pursue further.

Original language	English
Journal	Israel Journal of Mathematics
DOIs	https://doi.org/10.1007/s11856-026-2902-y
State	Accepted/In press - 2026
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/s11856-026-2902-y

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title = "Negative immersions and finite height mappings",

abstract = "Given a monomorphism Ψ:H→F where H is a proper free factor of the free group F, we show the associated partial mapping torus X of Ψ has negative immersions iff H has finite height in π1X if and only if Ψ is fully irreducible. We survey related properties and discuss possible directions to pursue further.",

author = "Brahim Abdenbi and Wise, \{Daniel T.\}",

note = "Publisher Copyright: {\textcopyright} The Hebrew University of Jerusalem 2026.",

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language = "English",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

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AU - Abdenbi, Brahim

AU - Wise, Daniel T.

PY - 2026

Y1 - 2026

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AB - Given a monomorphism Ψ:H→F where H is a proper free factor of the free group F, we show the associated partial mapping torus X of Ψ has negative immersions iff H has finite height in π1X if and only if Ψ is fully irreducible. We survey related properties and discuss possible directions to pursue further.

UR - https://www.scopus.com/pages/publications/105030684864

U2 - 10.1007/s11856-026-2902-y

DO - 10.1007/s11856-026-2902-y

M3 - Article

SN - 0021-2172

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Negative immersions and finite height mappings

Abstract

ASJC Scopus subject areas

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