Lifts of projective congruence groups, II

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Lifts of projective congruence groups, II. / Kiming, Ian.

I: Proceedings of the American Mathematical Society, Bind 142, Nr. 11, 2014, s. 3761-3770.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Kiming, I 2014, 'Lifts of projective congruence groups, II', Proceedings of the American Mathematical Society, bind 142, nr. 11, s. 3761-3770. https://doi.org/10.1090/S0002-9939-2014-12127-7

APA

Kiming, I. (2014). Lifts of projective congruence groups, II. Proceedings of the American Mathematical Society, 142(11), 3761-3770. https://doi.org/10.1090/S0002-9939-2014-12127-7

Vancouver

Kiming I. Lifts of projective congruence groups, II. Proceedings of the American Mathematical Society. 2014;142(11):3761-3770. https://doi.org/10.1090/S0002-9939-2014-12127-7

Author

Kiming, Ian. / Lifts of projective congruence groups, II. I: Proceedings of the American Mathematical Society. 2014 ; Bind 142, Nr. 11. s. 3761-3770.

Bibtex

@article{b69705f8a1f5414dbff7f1eba8506f68,
title = "Lifts of projective congruence groups, II",
abstract = "We continue and complete our previous paper ``Lifts of projective congruence groups'' concerning the question of whether there exist noncongruence subgroups of  that are projectively equivalent to one of the groups  or . A complete answer to this question is obtained: In case of  such noncongruence subgroups exist precisely if  and we additionally have either that  or that  is divisible by an odd prime congruent to  modulo . In case of  these noncongruence subgroups exist precisely if .As in our previous paper the main motivation for this question is the fact that the above noncongruence subgroups represent a fairly accessible and explicitly constructible reservoir of examples of noncongruence subgroups of  that can serve as the basis for experimentation with modular forms on noncongruence subgroups.",
author = "Ian Kiming",
year = "2014",
doi = "10.1090/S0002-9939-2014-12127-7",
language = "English",
volume = "142",
pages = "3761--3770",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "11",

}

RIS

TY - JOUR

T1 - Lifts of projective congruence groups, II

AU - Kiming, Ian

PY - 2014

Y1 - 2014

N2 - We continue and complete our previous paper ``Lifts of projective congruence groups'' concerning the question of whether there exist noncongruence subgroups of  that are projectively equivalent to one of the groups  or . A complete answer to this question is obtained: In case of  such noncongruence subgroups exist precisely if  and we additionally have either that  or that  is divisible by an odd prime congruent to  modulo . In case of  these noncongruence subgroups exist precisely if .As in our previous paper the main motivation for this question is the fact that the above noncongruence subgroups represent a fairly accessible and explicitly constructible reservoir of examples of noncongruence subgroups of  that can serve as the basis for experimentation with modular forms on noncongruence subgroups.

AB - We continue and complete our previous paper ``Lifts of projective congruence groups'' concerning the question of whether there exist noncongruence subgroups of  that are projectively equivalent to one of the groups  or . A complete answer to this question is obtained: In case of  such noncongruence subgroups exist precisely if  and we additionally have either that  or that  is divisible by an odd prime congruent to  modulo . In case of  these noncongruence subgroups exist precisely if .As in our previous paper the main motivation for this question is the fact that the above noncongruence subgroups represent a fairly accessible and explicitly constructible reservoir of examples of noncongruence subgroups of  that can serve as the basis for experimentation with modular forms on noncongruence subgroups.

U2 - 10.1090/S0002-9939-2014-12127-7

DO - 10.1090/S0002-9939-2014-12127-7

M3 - Journal article

VL - 142

SP - 3761

EP - 3770

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 11

ER -

ID: 122608744