Periodic polynomial of trace maps

Qing Hui Liu; Jacques Peyrière; Zhi Ying Wen

doi:10.1016/j.bulsci.2006.04.004

Periodic polynomial of trace maps

Qing Hui Liu, Jacques Peyrière^*, Zhi Ying Wen

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Let σ be an endomorphism of the free group on two generators and Φ_σ the trace map associated with σ. A polynomial P is said to be periodic for σ if, for some positive integer n, it is invariant under Φ_σⁿ, i.e., P ○ Φ_σⁿ = P. In this note we study the structure of the ring of periodic polynomials for σ.

源语言	英语
页（从-至）	572-582
页数	11
期刊	Bulletin des Sciences Mathematiques
卷	131
期	6
DOI	https://doi.org/10.1016/j.bulsci.2006.04.004
出版状态	已出版 - 9月 2007

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Liu, Q. H., Peyrière, J., & Wen, Z. Y. (2007). Periodic polynomial of trace maps. Bulletin des Sciences Mathematiques, 131(6), 572-582. https://doi.org/10.1016/j.bulsci.2006.04.004

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title = "Periodic polynomial of trace maps",

abstract = "Let σ be an endomorphism of the free group on two generators and Φσ the trace map associated with σ. A polynomial P is said to be periodic for σ if, for some positive integer n, it is invariant under Φσn, i.e., P ○ Φσn = P. In this note we study the structure of the ring of periodic polynomials for σ.",

keywords = "Free groups, Fricke characters, Trace maps",

author = "Liu, {Qing Hui} and Jacques Peyri{\`e}re and Wen, {Zhi Ying}",

year = "2007",

month = sep,

doi = "10.1016/j.bulsci.2006.04.004",

language = "English",

volume = "131",

pages = "572--582",

journal = "Bulletin des Sciences Mathematiques",

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TY - JOUR

T1 - Periodic polynomial of trace maps

AU - Liu, Qing Hui

AU - Peyrière, Jacques

AU - Wen, Zhi Ying

PY - 2007/9

Y1 - 2007/9

N2 - Let σ be an endomorphism of the free group on two generators and Φσ the trace map associated with σ. A polynomial P is said to be periodic for σ if, for some positive integer n, it is invariant under Φσn, i.e., P ○ Φσn = P. In this note we study the structure of the ring of periodic polynomials for σ.

AB - Let σ be an endomorphism of the free group on two generators and Φσ the trace map associated with σ. A polynomial P is said to be periodic for σ if, for some positive integer n, it is invariant under Φσn, i.e., P ○ Φσn = P. In this note we study the structure of the ring of periodic polynomials for σ.

KW - Free groups

KW - Fricke characters

KW - Trace maps

UR - http://www.scopus.com/inward/record.url?scp=34547854314&partnerID=8YFLogxK

U2 - 10.1016/j.bulsci.2006.04.004

DO - 10.1016/j.bulsci.2006.04.004

M3 - Article

AN - SCOPUS:34547854314

SN - 0007-4497

VL - 131

SP - 572

EP - 582

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

IS - 6

ER -

Periodic polynomial of trace maps

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