most citedHall universal group has ample generic automorphisms

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.LO2026

Borel completeness of the class of countable Steiner triple systems

Guangyin Ma, Shichang Song

We show that the isomorphism relation for countable Steiner triple systems is Borel complete, that is, the isomorphism relation for arbitrary countable structures is Borel reducibl…

math.LO2026

Model theory of convolution algebras

Alexander Berenstein, Kyle Gannon, Shichang Song

This paper deals with the model theory of convolution algebras for locally compact groups , seen as Banach lattices equipped with the convolution product . We fi…

math.LO2017★ 1 cited

Hall universal group has ample generic automorphisms

Shichang Song

We show that the automorphism group of Philip Hall's universal locally finite group has ample generics,that is, it admits comeager diagonal conjugacy classes in all dimensions.Cons…