ALGEBRAIC STUDY OF RHOTRIXGROUPS
ALGEBRAIC STUDY OF RHOTRIXGROUPS
No Thumbnail Available
Date
2016-05
Authors
ADAMU, HALIMA
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this dissertation, Algebraicproperties ofgroups ofrhotriceswere constructed and somealready known theories in group theory were verified. Cyclic rhotrixgroup was developed from the cyclic multiplication table presented. Subgroups of the rhotrix groups developed were also identified and the order of the rhotrix groups were discussed .Homomorphisms and Isomorphisms of rhotrix groups were equally presented. Finite algebraic structures that satisfy the axioms of groups were constructed using rhotrix sets as the underlying sets.Ideas in group theory were systematized into rhotrix group theory using already known concepts such as cosets, order, subgroups, Lagrange’s theorem of a group and so on. The entries were derived from residue classes of modulo two,three and five.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARDOF A MASTER OF SCIENCE DEGREE IN MATHEMATICS, DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA.
Keywords
ALGEBRAIC STUDY,, RHOTRIXGROUPS,