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Grigorchuk–Gupta–Sidki groups as a source for Beauville surfaces

Grigorchuk–Gupta–Sidki groups as a source for Beauville surfaces

If G is a Grigorchuk–Gupta–Sidki group defined over a p -adic tree, where p is an odd prime, we study the existence of Beauville surfaces associated to the quotients of G by its level stabilizers \mathrm {st}_G(n) . We prove that if G is periodic then the quotients G/\mathrm {st}_G(n) …