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math.GR2025
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…
math.GR2024
Creating a dynamic database of finite groups
Lewis Combes, John W. Jones, Jennifer Paulhus +3
A database of abstract groups has been added to the L-functions and Modular Forms Database (LMFDB), available at https://www.lmfdb.org/Groups/Abstract/. We discuss the functionalit…
math.GR2019
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…