Counting Cycles in Labeled Graphs: The Nonpositive Immersion Property for One-Relator Groups

Joseph Helfer; Daniel T. Wise

doi:10.1093/imrn/rnv208

Counting Cycles in Labeled Graphs: The Nonpositive Immersion Property for One-Relator Groups

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

Abstract

We prove a rank 1 version of the Hanna Neumann Theorem. This shows that every one-relator 2-complex without torsion has the nonpositive immersion property. The proof generalizes to staggered and reducible 2-complexes.

Original language	English
Pages (from-to)	2813-2827
Number of pages	15
Journal	International Mathematics Research Notices
Volume	2016
Issue number	9
DOIs	https://doi.org/10.1093/imrn/rnv208
State	Published - 2016
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnv208

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title = "Counting Cycles in Labeled Graphs: The Nonpositive Immersion Property for One-Relator Groups",

abstract = "We prove a rank 1 version of the Hanna Neumann Theorem. This shows that every one-relator 2-complex without torsion has the nonpositive immersion property. The proof generalizes to staggered and reducible 2-complexes.",

author = "Joseph Helfer and Wise, \{Daniel T.\}",

year = "2016",

doi = "10.1093/imrn/rnv208",

language = "الإنجليزيّة",

volume = "2016",

pages = "2813--2827",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "9",

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AU - Wise, Daniel T.

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AB - We prove a rank 1 version of the Hanna Neumann Theorem. This shows that every one-relator 2-complex without torsion has the nonpositive immersion property. The proof generalizes to staggered and reducible 2-complexes.

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U2 - 10.1093/imrn/rnv208

DO - 10.1093/imrn/rnv208

M3 - مقالة

SN - 1073-7928

VL - 2016

SP - 2813

EP - 2827

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 9

ER -

Counting Cycles in Labeled Graphs: The Nonpositive Immersion Property for One-Relator Groups

Abstract

All Science Journal Classification (ASJC) codes

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