The classification of finite groups by using iteration digraphs

Title:

The classification of finite groups by using iteration digraphs

Creator:

Ahmad, Uzma and Moeen, Muqadas

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:766a0b69-f655-4bba-b8b7-006aa60251c0
uuid:766a0b69-f655-4bba-b8b7-006aa60251c0
issn:0011-4642

Subject:

matematika, iterační metody, mathematics, iterative methods (mathematics), 2-group, generalized quaternion group, iteration digraph, cycle, indegree, fixed point, regular digraph, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

A digraph is associated with a finite group by utilizing the power map f: G → G defined by f(x) = xkfor all x \in G, where k is a fixed natural number. It is denoted by γG(n, k). In this paper, the generalized quaternion and 2-groups are stud- ied. The height structure is discussed for the generalized quaternion. The necessary and sufficient conditions on a power digraph of a 2-group are determined for a 2-group to be a generalized quaternion group. Further, the classification of two generated 2-groups as abelian or non-abelian in terms of semi-regularity of the power digraphs is completed., Uzma Ahmad, Muqadas Moeen., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1103-1117

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:4

Harvested from:

CDK

Metadata only:

false