Title of article :
The Number of Subgroups of a Given Type in Certain Finite Groups
Author/Authors :
Baqer Shelash, Hayder Department of Mathematics - University of Kufa, Iraq , Ashrafi, Ali Reza Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Kashan - Kashan, Iran
Abstract :
The number of subgroups, normal subgroups and characteristic subgroups of a finite group G are denoted by Sub(G), NSub(G) and CSub(G), respectively. The main goal of this paper is to present a
matrix model for computing these positive integers for dicyclic groups,
semi-dihedral groups, and three sequences U6n, V8n and H(n) of groups
that can be presented as follows . For each group, a matrix model containing all information is given
Keywords :
Subgroup , Normal subgroup , Characteristic subgroup
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
