Applications of group theory to conjectures of Artin and Langlands

DOI10.1142/S1793042118500537zbMath1440.11212OpenAlexW2755009224WikidataQ123245392 ScholiaQ123245392MaRDI QIDQ4609579

Peng-Jie Wong

Publication date: 4 April 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042118500537

zbMATH Keywords

Artin's conjecturegroup theorycharacter theoryLanglands reciprocity

Mathematics Subject Classification ID

Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (1)

Composite values of shifted exponentials

Uses Software

• GAP
• Cubefree

Cites Work

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• Accessible characters are monomial
• A symplectic case of Artin's conjecture
• Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
• Modularity of hypertetrahedral representations
• On the groups of cube-free order.
• Langlands reciprocity for certain Galois extensions
• On monomial groups.
• On the monomiality of groups of order between 100 and 200. I.
• Artin’s conjecture for representations of octahedral type
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• On the monomiality of groups of order between 100 and 200. II.
• Cayley graphs of order 16p are hamiltonian

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