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

Mircea Cimpoeaş; Alexandru Radu

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 4, page 1065-1079
  • ISSN: 0011-4642

Abstract

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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 L -functions.

How to cite

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Cimpoeaş, Mircea, and Radu, Alexandru. "On supercharacter theoretic generalizations of monomial groups and Artin's conjecture." Czechoslovak Mathematical Journal 72.4 (2022): 1065-1079. <http://eudml.org/doc/298930>.

@article{Cimpoeaş2022,
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 $L$-functions.},
author = {Cimpoeaş, Mircea, Radu, Alexandru},
journal = {Czechoslovak Mathematical Journal},
keywords = {Artin $L$-function; monomial group; almost monomial group; supercharacter theory},
language = {eng},
number = {4},
pages = {1065-1079},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On supercharacter theoretic generalizations of monomial groups and Artin's conjecture},
url = {http://eudml.org/doc/298930},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Cimpoeaş, Mircea
AU - Radu, Alexandru
TI - On supercharacter theoretic generalizations of monomial groups and Artin's conjecture
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 4
SP - 1065
EP - 1079
AB - 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 $L$-functions.
LA - eng
KW - Artin $L$-function; monomial group; almost monomial group; supercharacter theory
UR - http://eudml.org/doc/298930
ER -

References

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