The integral symplectic groups and the Eichler trace of Z(,p) actions of Riemann surfaces

Posted on:1998-11-10

Degree:Ph.D

Type:Dissertation

University:The University of British Columbia (Canada)

Candidate:Yang, Qingjie

Full Text:PDF

GTID:1460390014479278

Subject:Mathematics

Abstract/Summary:

Every conformal automorphism on a compact connected Riemann surface S of genus g gives rise to a matrix A in the integral symplectic group ;If ;We determine completely those conjugacy classes of elements of order p in ;A complete list of the conjugacy classes of torsion in ;We also study the Eichler trace of...

Keywords/Search Tags:

Eichler trace, Integral symplectic, Conjugacy classes

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