Purely (Non-)Strongly Real Beauville Groups
Ben Fairbairn
TL;DR
This paper investigates Beauville groups and classifies their associated surfaces as always strongly real or never strongly real, providing multiple infinite families of examples.
Contribution
It introduces new classifications of Beauville groups based on the strong reality of their surfaces, expanding understanding of their structural properties.
Findings
Identifies infinite families of Beauville groups with always strongly real surfaces.
Identifies infinite families of Beauville groups with never strongly real surfaces.
Provides examples illustrating the classification.
Abstract
We discuss Beauville groups whose corresponding Beauville surfaces are either always strongly real or never strongly real producing several infinite families of examples.
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Taxonomy
TopicsFinite Group Theory Research · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology