Normalizers of intermediate congruence subgroups of the Hecke subgroups

For a square-free positive integer N, we study the normalizer of ΓΔ(N) in PSL2(ℝ) and investigate the group structure of its quotient by ΓΔ(N) under certain conditions.

Bibliographic Details
Main Authors:	Im Bo-Hae, Jeon Daeyeol, Kim Chang Heon
Format:	Article
Language:	English
Published:	De Gruyter 2017-06-01
Series:	Open Mathematics
Subjects:	normalizers hecke subgroups modular curves automorphism groups 20h05 19b37 11g18
Online Access:	https://doi.org/10.1515/math-2017-0066

id	doaj-bdf4944762bb47f39a188e9125f162c9
record_format	Article
spelling	doaj-bdf4944762bb47f39a188e9125f162c92021-09-06T19:20:09ZengDe GruyterOpen Mathematics2391-54552017-06-0115178779910.1515/math-2017-0066math-2017-0066Normalizers of intermediate congruence subgroups of the Hecke subgroupsIm Bo-Hae0Jeon Daeyeol1Kim Chang Heon2Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, South KoreaDepartment of Mathematics education, Kongju National University, 56 Gongjudaehak-ro, Gongju-si, Chungcheongnam-do 314-701, South KoreaDepartment of Mathematics, Sungkyunkwan University, Suwon440-746, South KoreaFor a square-free positive integer N, we study the normalizer of ΓΔ(N) in PSL2(ℝ) and investigate the group structure of its quotient by ΓΔ(N) under certain conditions.https://doi.org/10.1515/math-2017-0066normalizershecke subgroupsmodular curvesautomorphism groups20h0519b3711g18
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Im Bo-Hae Jeon Daeyeol Kim Chang Heon
spellingShingle	Im Bo-Hae Jeon Daeyeol Kim Chang Heon Normalizers of intermediate congruence subgroups of the Hecke subgroups Open Mathematics normalizers hecke subgroups modular curves automorphism groups 20h05 19b37 11g18
author_facet	Im Bo-Hae Jeon Daeyeol Kim Chang Heon
author_sort	Im Bo-Hae
title	Normalizers of intermediate congruence subgroups of the Hecke subgroups
title_short	Normalizers of intermediate congruence subgroups of the Hecke subgroups
title_full	Normalizers of intermediate congruence subgroups of the Hecke subgroups
title_fullStr	Normalizers of intermediate congruence subgroups of the Hecke subgroups
title_full_unstemmed	Normalizers of intermediate congruence subgroups of the Hecke subgroups
title_sort	normalizers of intermediate congruence subgroups of the hecke subgroups
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2017-06-01
description	For a square-free positive integer N, we study the normalizer of ΓΔ(N) in PSL2(ℝ) and investigate the group structure of its quotient by ΓΔ(N) under certain conditions.
topic	normalizers hecke subgroups modular curves automorphism groups 20h05 19b37 11g18
url	https://doi.org/10.1515/math-2017-0066
work_keys_str_mv	AT imbohae normalizersofintermediatecongruencesubgroupsoftheheckesubgroups AT jeondaeyeol normalizersofintermediatecongruencesubgroupsoftheheckesubgroups AT kimchangheon normalizersofintermediatecongruencesubgroupsoftheheckesubgroups
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Normalizers of intermediate congruence subgroups of the Hecke subgroups

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