AN ALGEBRAIC STUDY OF NON-COMMUTATIVE GENERALLINEAR RHOTRIX GROUP
AN ALGEBRAIC STUDY OF NON-COMMUTATIVE GENERALLINEAR RHOTRIX GROUP
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Date
2016-01
Authors
OKON, UBONG ENE
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Abstract
This dissertation presents a studyof a certain algebraic system,termed: “Non-commutative
general linear rhotrix group”. The groupis considered to be analogous to the well-known
General Linear Group. The Non-commutative General Linear Rhotrix Group consists of
all invertible rhotrices of size with entries from an arbitrary field F and it has
beenshown to possessnon-commutative rhotrix groups as its subgroups. Certain
subgroups of non-commutative general linear rhotrix group have also beenidentified and
then shown to be embedded in some subgroups of the general linear group. Furthermore,
some finite non-commutative groups of rhotrices as well as their subgroups
areconstructed and shown as concrete examples. It is of interest that this study will go to
a large extent in simplification of teaching and learning of group theory in Mathematical
discipline.
Description
A DISSERTATIONSUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA
IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD
OFA
MASTERS DEGREE IN MATHEMATICS
DEPARTMENT OF MATHEMATICS,
FACULTY OF SCIENCE
AHMADU BELLO UNIVERSITY, ZARIA
NIGERIA
Keywords
ALGEBRAIC STUDY,, NON-COMMUTATIVE GENERALLINEAR,, RHOTRIX GROUP,