Title
Critical Groups of Graphs with Dihedral Actions
Document Type
Article
Publication Date
7-2014
Department 1
Mathematics
Abstract
This paper examines the relationship between the automorphism group of a hyperelliptic curve defined over an algebraically closed field of characteristic two and the 2-rank of the curve. In particular, we exploit the wild ramification to use the Deuring-Shafarevich formula in order to analyze the ramification of hyperelliptic curves that admit extra automorphisms and use this data to impose restrictions on the genera and 2-ranks of such curves. We also show how some of the techniques and results carry over to the case where our base field is of characteristic p > 2.
Copyright Note
This is the publisher's version of the work. This publication appears in Gettysburg College's institutional repository by permission of the copyright owner for personal use, not for redistribution.
DOI
10.1016/j.ejc.2013.12.005
Recommended Citation
Glass, Darren and Criel Merino. "Critical Groups of Graphs with Dihedral Actions." European Journal of Combinatorics 39 (July 2014), 95-112.
Required Publisher's Statement
Original version is available from the publisher at: http://www.journals.elsevier.com/european-journal-of-combinatorics/