Fricke identities, Frobenius $k$-characters and Markov equation

zbMATH Open1473.20007arXiv1912.08705MaRDI QIDQ5004902

Publication date: 3 August 2021

Abstract: In 1896 Frobenius and Fricke had published two seemingly unrelated papers: Frobenius had started to develop his theory of

k

-characters for finite groups motivated by Dedekind's question about factorisation of the group determinant, while Fricke followed Klein's approach to the uniformization theorem. We show that in fact these two works can be naturally linked and both are related to remarkable Markov's paper of 1880 on arithmetic of binary quadratic forms.

Full work available at URL: https://arxiv.org/abs/1912.08705

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22) History of mathematics in the 19th century (01A55) History of group theory (20-03)

This page was built for publication: Fricke identities, Frobenius $k$-characters and Markov equation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5004902)