The symmetric genus of a finite group G is defined as the smallest genus s of a compact connected oriented surface on which G acts faithfully via diffeomorphisms, which may be orientation-preserving or orientation-reserving. In this paper we determine a useful lower bound for the...
Open access
Research Article10.9734/ARJOM/2017/36239
A long-standing problem is how to create a short-length presentation for finite groups of degree n. This paper aimed at presenting a concrete method for generating presentations for the groups Sm+n, S2m and Smn for all m,nÎZ+ with fewer relations than the existing literature from...
Open access
Research Article10.9734/jamcs/2021/v36i930400
The use of finite group presentations in signal processing has not been exploit in the current literature. Based on the existing signal processing algorithms (not necessarily group theoretic approach), various signal processing transforms have unique decomposition capabilities, t...
Open access
Research Article10.9734/jamcs/2021/v36i930398