Lifts of projective congruence groups, II
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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
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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