English

On supercharacter theoretic generalizations of monomial groups and Artin's conjecture

Number Theory 2024-05-01 v1 Group Theory

Abstract

We extend the notions of quasi-monomial groups and almost monomial groups, in the framework of supercharacter theories, and we study their connection with Artin's conjecture regarding the holomorphy of Artin LL-functions.

Keywords

Cite

@article{arxiv.2106.10953,
  title  = {On supercharacter theoretic generalizations of monomial groups and Artin's conjecture},
  author = {Mircea Cimpoeas and Alexandru F. Radu},
  journal= {arXiv preprint arXiv:2106.10953},
  year   = {2024}
}

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14 pages