The strongly real Beauville conjecture for finite simple groups

A strongly real Beauville group is a group admitting a Beauville structure satisfying the strong reality condition: there are an automorphism and conjugating elements that simultaneously invert the relevant generators. The strongly real Beauville conjecture for finite simple groups. Every non-abelian finite simple group other than A5A_5, M11M_{11}, and M23M_{23} is a strongly real Beauville group. The source describes this as a refinement of an earlier conjecture and does not provide evidence of resolution.

Sources & referencesView supporting material

Primary source

Ben Fairbairn, “Recent work on Beauville surfaces, structures and groups”, arXiv:1405.7547 (2014).

Additional references

2 papers in this index state this conjecture (2010–2014). The statement above is taken from the most recent of them; the others are arXiv:1007.5050.

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