Normal subgroups of the Hecke group H(2^{1/2}) corresponding to one relator quotients of small order

2006 ◽  
pp. 15-23
Author(s):  
H. B. Ozdemir ◽  
Y. T. Ulutas ◽  
I. N. Cangul
Keyword(s):  
Normal Subgroups ◽  
Hecke Group

Classification of Normal Subgroups of Hecke Group H6 in Terms of Parabolic Class Number

2011 ◽  
Author(s):  
Aysun Yurttas ◽  
Musa Demirci ◽  
I. Naci Cangul ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Class Number ◽  
Normal Subgroups ◽  
Hecke Group

Power and free normal subgroups of generalized Hecke groups

2019 ◽  
Vol 13 (04) ◽  
pp. 2050080
Author(s):  
Recep Sahin ◽  
Taner Meral ◽  
Özden Koruoğlu
Keyword(s):  
Positive Integer ◽  
Normal Subgroups ◽  
Hecke Groups ◽  
Hecke Group

Let [Formula: see text] and [Formula: see text] be integers such that [Formula: see text] [Formula: see text] and let [Formula: see text] be generalized Hecke group associated to [Formula: see text] and [Formula: see text] Generalized Hecke group [Formula: see text] is generated by [Formula: see text] and [Formula: see text], where [Formula: see text] and [Formula: see text] In this paper, for positive integer [Formula: see text] we study the power subgroups [Formula: see text] of generalized Hecke groups [Formula: see text]. Also, we give some results about free normal subgroups of generalized Hecke groups [Formula: see text]

scholarly journals On F-Normal Subgroups of Finite Soluble Groups

1995 ◽  
Vol 171 (1) ◽  
pp. 189-203 ◽  
Author(s):  
A. Ballesterbolinches ◽  
K. Doerk ◽  
M.D. Perezramos
Keyword(s):  
Normal Subgroups ◽  
Soluble Groups

scholarly journals Normal subgroups of diffeomorphism and homeomorphism groups of ℝn and other open manifolds

2011 ◽  
Vol 31 (6) ◽  
pp. 1835-1847 ◽  
Author(s):  
PAUL A. SCHWEITZER, S. J.
Keyword(s):  
Normal Subgroup ◽  
Compact Manifold ◽  
Normal Subgroups ◽  
Open Manifold ◽  
Open Manifolds ◽  
Group Of Homeomorphisms ◽  
Homeomorphism Groups

AbstractWe determine all the normal subgroups of the group of Cr diffeomorphisms of ℝn, 1≤r≤∞, except when r=n+1 or n=4, and also of the group of homeomorphisms of ℝn ( r=0). We also study the group A0 of diffeomorphisms of an open manifold M that are isotopic to the identity. If M is the interior of a compact manifold with non-empty boundary, then the quotient of A0 by the normal subgroup of diffeomorphisms that coincide with the identity near to a given end e of M is simple.

scholarly journals Polygonal products of polycyclic by finite groups

1996 ◽  
Vol 54 (3) ◽  
pp. 369-372 ◽  
Author(s):  
R.B.J.T. Allenby
Keyword(s):  
Finite Groups ◽  
Cyclic Subgroup ◽  
Substantial Improvement ◽  
Normal Subgroups ◽  
Recent Theorem

We prove that a polygonal product of polycyclic by finite groups amalgamating normal subgroups, with trivial mutual intersections, is cyclic subgroup separable. Because of a recent example (stated below) of the author this substantial improvement on a recent theorem of Kim is essentially best possible.

Bounds for the Number of Conjugacy Classes of Non-Normal Subgroups in a Finitep-Group

2009 ◽  
Vol 37 (11) ◽  
pp. 3928-3942
Author(s):  
Gustavo A. Fernández-Alcober ◽  
Leire Legarreta
Keyword(s):  
Conjugacy Classes ◽  
Normal Subgroups

scholarly journals On CSQ-normal subgroups of finite groups

2016 ◽  
Vol 14 (1) ◽  
pp. 801-806
Author(s):  
Yong Xu ◽  
Xianhua Li
Keyword(s):  
Finite Groups ◽  
Normal Subgroups ◽  
Sylow Subgroups

Abstract We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.

Quasi-normal subgroups of algebraic groups

1985 ◽  
Vol 45 (1) ◽  
pp. 8-11
Author(s):  
Claus Scheiderer
Keyword(s):  
Algebraic Groups ◽  
Normal Subgroups
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