38 citations · 57 across the 9 of their papers we have counts for
10 papers
Signatures of alternating group actions with non-zero quotient genus
Jennifer Paulhus, Aaron Wootton
We classify up to signature all the ways the alternating group can act on a compact Riemann surfaces when the quotient genus is greater than . In particular, we prove that…
Non-Abelian Simple Groups Act with Almost All Signatures
Mariela Carvacho, Jennifer Paulhus, Tom Tucker +1
The topological data of a group action on a compact Riemann surface is often encoded using a tuple called its signature. There are two easily verifiable arithm…
Omnipersistent signatures
James W. Anderson, Aaron Wootton
In this note, we lay the groundwork for a new approach to the problem of group-signature classification of group actions on closed Riemann surfaces. This new approach first focuses…
On automorphisms of algebraic curves
A. Broughton, T. Shaska, A. Wootton
An irreducible, algebraic curve of genus defined over an algebraically closed field of characteristic $\mbox{char } \, k = p \geq 0$, has finite automo…
Gaps in the space of skeletal signatures
James W Anderson, Aaron Wootton
Skeletal signatures were introduced in [J W Anderson and A Wootton, A Lower Bound for the Number of Group Actions on a Compact Riemann Surface, Algebr. Geom. Topol. 12 (2012) 19--3…
A Lower Bound for the Number of Group Actions on a Compact Riemann Surface
James W. Anderson, Aaron Wootton
We prove that the number of distinct group actions on compact Riemann surfaces of a fixed genus is at least quadratic in . We do this through the introduction of a coa…