Browsing 2024 by MSC "14"

Now showing items 1-3 of 3

A CFSG-Free Explicit Jordan’s Theorem over Arbitrary Fields

[OWP-2024-13] Bajpai, Jitendra; Dona, Daniele (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] Krattenthaler, Christian; Müller, Thomas W. (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] Bate, Michael; Böhm, Sören; Martin, Benjamin; Röhrle, Gerhard (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 ...