On Normal Subgroups of Generalized Hecke Groups
نویسندگان
چکیده
منابع مشابه
SOME NORMAL SUBGROUPS OF THE EXTENDED HECKE GROUPS H(λp)
We consider the extended Hecke groupsH(λp) generated by T (z) = −1/z, S(z) = −1/(z+λp) and R(z) = 1/ z̄ with λp = 2 cos(π/p) for p ≥ 3 prime number. In this article, we study the abstract group structure of the extended Hecke groups and the power subgroups H m (λp) of H(λp). Then, we give the relations between commutator subgroups and power subgroups and also the information of interest about fr...
متن کاملinfinite groups with many generalized normal subgroups
a subgroup $x$ of a group $g$ is almost normal if the index $|g:n_g(x)|$ is finite, while $x$ is nearly normal if it has finite index in the normal closure $x^g$. this paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.
متن کاملOn subgroups of topologized fundamental groups and generalized coverings
In this paper, we are interested in studying subgroups of topologized fundamental groups and their influences on generalized covering maps. More precisely, we find some relationships between generalized covering subgroups and the other famous subgroups of the fundamental group equipped with the compact-open topology and the whisker topology. Moreover, we present some conditions unde...
متن کاملClassifying fuzzy normal subgroups of finite groups
In this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. Explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.
متن کاملOn non-normal non-abelian subgroups of finite groups
In this paper we prove that a finite group $G$ having at most three conjugacy classes of non-normal non-abelian proper subgroups is always solvable except for $Gcong{rm{A_5}}$, which extends Theorem 3.3 in [Some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable, Acta Math. Sinica (English Series) 27 (2011) 891--896.]. Moreover, we s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Analele Universitatii "Ovidius" Constanta - Seria Matematica
سال: 2016
ISSN: 1844-0835
DOI: 10.1515/auom-2016-0035