Browsing 2024 by MSC "14"
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A CFSG-Free Explicit Jordan’s Theorem over Arbitrary Fields
[OWP-2024-13] (Mathematisches Forschungsinstitut Oberwolfach, 2024-11-29)We prove a version of Jordan's classification theorem for finite subgroups of $\mathrm{GL}_{n}(K)$ that is at the same time quantitatively explicit, CFSG-free, and valid for arbitrary $K$. This is the first proof to satisfy ... -
The Congruence Properties of Romik’s Sequence of Taylor Coefficients of Jacobi’s Theta Function $θ_3$
[OWP-2024-12] (Mathematisches Forschungsinstitut Oberwolfach, 2024-11-29)In [Ramanujan J. 52 (2020), 275-290], Romik considered the Taylor expansion of Jacobi's theta function $\theta_3(q)$ at $q=e^{-\pi}$ and encoded it in an integer sequence $(d(n))_{n\ge0}$ for which he provided a recursive ... -
On Overgroups of Distinguished Unipotent Elements in Reductive Groups and Finite Groups of Lie Type
[OWP-2024-05] (Mathematisches Forschungsinstitut Oberwolfach, 2024-06-18)Suppose G is a simple algebraic group defined over an algebraically closed field of good characteristic p. In 2018 Korhonen showed that if H is a connected reductive subgroup of G which contains a distinguished unipotent ...