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

scholarly journals The subnormal subgroup structure of the infinite general linear group

1982 ◽  
Vol 25 (1) ◽  
pp. 81-86 ◽  
Author(s):  
David G. Arrell
Keyword(s):  
General Linear Group ◽  
Subnormal Subgroup ◽  
Complete Classification ◽  
Normal Subgroups ◽  
Finiteness Conditions ◽  
Group Of Units ◽  
Finite Dimensional ◽  
Finite Dimensional Case ◽  
Infinite Set

Let R be a ring with identity, let Ω be an infinite set and let M be the free R-module R(Ω). In [1] we investigated the problem of locating and classifying the normal subgroups of GL(Ω, R), the group of units of the endomorphism ring EndRM, where R was an arbitrary ring with identity. (This extended the work of [3] and [8] where it was necessary for R to satisfy certain finiteness conditions.) When R is a division ring, the complete classification of the normal subgroups of GL(Ω, R) is given in [9] and the corresponding results for a Hilbert space are given in [6] and [7]. The object of this paper is to extend the methods of [1] to yield a classification of the subnormal subgroups of GL(Ω, R) along the lines of that given by Wilson in [10] in the finite dimensional case.

scholarly journals Classification of integral lattices with large class number

1998 ◽  
Vol 67 (222) ◽  
pp. 737-750 ◽  
Author(s):  
Rudolf Scharlau ◽  
Boris Hemkemeier
Keyword(s):  
Large Class ◽  
Class Number
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