Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/principal-congruence-subgroups-of-the-hecke-groups-and-related-results-G5YmXarNea
References (46)
-
(1987)
P SL(2 -
(2002)
Congruence subgroups of some Hecke groups -
(2007)
Extended Hecke groups H(λq) and their fundamental regions -
M. Lang, Chong-Hai Lim, S. Tan (2000)
Principal Congruence Subgroups of the Hecke GroupsJournal of Number Theory, 85
-
Coy May (1988)
Supersolvable M*-groupsGlasgow Mathematical Journal, 30
-
M. Lang (2000)
The signatures of the congruence subgroups G 0(τ) of the hecke groups G 4 and G 6Communications in Algebra, 28
-
ReeepSahin, OsmanBizim (2003)
SOME SUBGROUPS OF THE EXTENDED HECKE GROUPS H^－（λq） -
L. Dickson
Linear groups with an exposition of the Galois field theory / by Leonard Eugene Dickson. -
(1990)
Automorphisms groups of compact bordered Klein surfaces -
(1986)
A family of M∗-groups -
I. Cangul, D. Singerman (1998)
Normal subgroups of Hecke groups and regular mapsMathematical Proceedings of the Cambridge Philosophical Society, 123
-
Donald Mcquillan (1965)
Classification of Normal Congruence Subgroups of the Modular GroupAmerican Journal of Mathematics, 87
-
Coy May (1975)
Automorphisms of compact Klein surfaces with boundaryPacific Journal of Mathematics, 59
-
D.L. McQuillan (1965)
ClassificationofnormalsubgroupsofthemodulargroupAmer. J. Math., 87
-
N. Greenleaf, Coy May (1982)
Bordered Klein surfaces with maximal symmetryTransactions of the American Mathematical Society, 274
-
M.L. Lang (2000)
The signatures of the congruence subgroups G 0(τ) of the Hecke groups G 4 and G 6Comm. Algebra, 28
-
L. Parson (1977)
Normal congruence subgroups of the Hecke groups $G(2^{(1/2)})$ and $G(3^{(1/2)})$.Pacific Journal of Mathematics, 70
-
Coy May (1977)
Large automorphism groups of compact Klein surfaces with boundary, IGlasgow Mathematical Journal, 18
-
I.N. Cangül (1997)
The minimal polynomials of cos(2π/n) over ℚProblemy Mat., 15
-
R. Sahin, O. Bizim, I. Cangul (2004)
Commutator Subgroups of the Extended Hecke Groups $$\bar H(\lambda _q )$$Czechoslovak Mathematical Journal, 54
-
(2004)
Commutator subgroups of the extended Hecke groups H(λq) -
D. Singerman (1987)
PSL(2, q) as an image of the extended modular group with applications to group actions on surfacesProceedings of the Edinburgh Mathematical Society, 30
-
Özden Koruoğlu, R. Sahin, Sebahattin Ikikardes, I. Cangül (2010)
Normal Subgroups of Hecke Groups H(λ)Algebras and Representation Theory, 13
-
W. Watkins, Joel Zeitlin (1993)
The minimal polynomial of cos(2π/n)American Mathematical Monthly, 100
-
S. Recep, Bizim Osman (2003)
SOME SUBGROUPS OF THE EXTENDED HECKE GROUPSH¯(λq)Acta Mathematica Scientia, 23
-
M. Lang, Chong-Hai Lim, S. Tan (1995)
Independent generators for congruence subgroups of Hecke groupsMathematische Zeitschrift, 220
-
G. Miller (1902)
Linear Groups with an Exposition of the Galois Field TheoryScience, 16
-
I. Ivrissimtzis, D. Singerman (2005)
Regular maps and principal congruence subgroups of Hecke groupsEur. J. Comb., 26
-
R. Sahin (2006)
SOME NORMAL SUBGROUPS OF THE EXTENDED HECKE GROUPS H(λp) -
E. Bujalance, F. Cirre, P. Turbek (2003)
Groups St Andrews 2001 in Oxford: Groups acting on bordered Klein surfaces with maximal symmetry -
M. Newman (1967)
CLASSIFICATION OF NORMAL SUBGROUPS OF THE MODULAR GROUPTransactions of the American Mathematical Society, 126
-
E. Hecke (1936)
Über die Bestimmung Dirichletscher Reihen durch ihre FunktionalgleichungMathematische Annalen, 112
-
Coy May (1986)
A Family of M*-GroupsCanadian Journal of Mathematics, 38
-
A. Macbeath (1969)
Generators of the linear fractional groups -
M. Conder (1990)
Hurwitz groups: A brief surveyBulletin of the American Mathematical Society, 23
-
E. Bujalance, F.J. Cirre, P. Turbek (2003)
Proceedings of Groups St. Andrews 2001 in Oxford. Vol. I -
R. Sahin, Sebahattin Ikikardes, Ozden Koruoglu (2006)
Generalized M*-groupsInt. J. Algebra Comput., 16
-
M. Lang (2006)
The structure of the normalisers of the congruence subgroups of the Hecke group G5Bulletin of the London Mathematical Society, 39
-
M. Newman (1963)
Normal Congruence Subgroups of the Modular GroupAmerican Journal of Mathematics, 85
-
E. Bujalance, J. Gordejuela, J. Gamboa, G. Gromadzki (1990)
Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach -
M. Demirci, I.N. Cangül (2006)
A class of congruence subgroups of Hecke group H(λ5)Bull. Inst. Math. Acad. Sin. (N.S.), 1
-
E. Bujalance, F. Cirre, P. Turbek (2004)
AUTOMORPHISM CRITERIA FOR M*-GROUPSProceedings of the Edinburgh Mathematical Society, 47
-
M. Demirci, I. Cangül (2006)
A CLASS OF CONGRUENCE SUBGROUPS OF HECKE GROUP H ( λ 5 ) BY MUSA DEMİRCİ AND İSMAİL NACİ CANGÜL -
R. Sahin, Sebahattin Ikikardes, Özden Koruoğlu (2006)
Some Normal Subgroups of the Extended Hecke Groups $\overline{H}({\lambda }_p)Rocky Mountain Journal of Mathematics, 36
-
R. Sahin, S. İkikardes, Koruoğlu (2007)
Extended Hecke groups $$ \overline H $$ (λq) andtheir fundamental regionsAdv. Stud. Contemp. Math. (Kyungshang), 15
-
E. Bujalance, F. Cirre, P. Turbek (2003)
Subgroups of M‐GroupsQuarterly Journal of Mathematics, 54
- Publisher
- Springer Journals
- Copyright
- Copyright © 2009 by Springer
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Mathematics, general
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-009-0023-y
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, first, we determine the quotient groups of the Hecke groups H(λ q ), where q ≥ 7 is prime, by their principal congruence subgroups H p (λ q ) oflevel p, where p is also prime. We deal with the case of q = 7 separately, because of its close relation with the Hurwitz groups. Then, using the obtained results, we find the principal congruence subgroups of the extended Hecke groups $$ \overline H $$ (λ q ) for q ≥ 5 prime. Finally, we show that some of the quotient groups of the Hecke group H(λ q ) and the extended Hecke group $$ \overline H $$ (λ q ), q ≥ 5 prime, by their principal congruence subgroups H p (λ q ) are M*-groups.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Nov 10, 2009