On supercharacter theoretic generalizations of monomial groups and Artin's conjecture
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1065-1079
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
DOI :
10.21136/CMJ.2022.0352-21
Classification :
11R42, 20C15
Keywords: Artin $L$-function; monomial group; almost monomial group; supercharacter theory
Keywords: Artin $L$-function; monomial group; almost monomial group; supercharacter theory
@article{10_21136_CMJ_2022_0352_21,
author = {Cimpoea\c{s}, Mircea and Radu, Alexandru},
title = {On supercharacter theoretic generalizations of monomial groups and {Artin's} conjecture},
journal = {Czechoslovak Mathematical Journal},
pages = {1065--1079},
publisher = {mathdoc},
volume = {72},
number = {4},
year = {2022},
doi = {10.21136/CMJ.2022.0352-21},
mrnumber = {4517596},
zbl = {07655783},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0352-21/}
}
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 SP - 1065 EP - 1079 VL - 72 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0352-21/ DO - 10.21136/CMJ.2022.0352-21 LA - en ID - 10_21136_CMJ_2022_0352_21 ER -
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Cimpoeaş, Mircea; Radu, Alexandru. On supercharacter theoretic generalizations of monomial groups and Artin's conjecture. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1065-1079. doi: 10.21136/CMJ.2022.0352-21
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