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2. Factoring in the hyperelliptic Torelli group.
3. Triviality of the ℓ-class groups in $\mathbb{Z}_{p}$-extensions of $\mathbb{Q}(\sqrt{-1})$ for split primes p ≡ 1 modulo 4.
4. A formal power series attached to a class function on a group and its application to the characterisation of characters.
5. Spectral rigidity and discreteness of 2233-groups.
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