Author

Y. Lodha

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Preprint Aug 2026

A note on normal generation and the first $\ell^2$-betti number

In $2011$, Osin and Thom conjectured that the first $\ell^2$-Betti number of a torsion-free discrete group is bounded above by the normal rank of the group minus one. The conjecture has surprising consequences for some fundamental problems in group theory and topology. These include the Wiegold problem on perfect group...

Sam P. Fisher, Y. Lodha · 0 citations