Abstract
Let Xn = { } 1,2,…,n be a finite n -element set and let Sn An and Dn , be the Symmetric, Alternating and Dihedral groups of Xn , respectively. In this thesis we obtained and discussed formulae for the number of even and odd permutations (of an n − element set) having exactly k fixed points in the alternating group and the generating functions for the fixed points. Further, we give two different proofs of the number of even and odd permutations (of an n − element set) having exactly k fixed points in the dihedral group, one geometric and the other algebraic. In the algebraic proof, we further obtain the formulae for determining the fixed points. We finally proved the three families; F(2r,4r + 2), F(4r +3,8r + 8) and F( ) 4r +5,8r +12 of the Fibonacci groups F( ) m ,n to be infinite by defining Morphism between Dihedral groups and the Fibonacci groups.
Abstract
This study determined the effect of socio-Economics background on Academic performance of Secondary school Biol...
BACKGROUND TO THE STUDY
Adults learn in a variety of ways, one of which is through combining expe...
BACKGROUND OF THE STUDY
The introduction to sexual activities during adolescen...
ABSTRACT
This study examine the effects of internal control system on risk management. The researcher consider employee...
EXECERPT FROM THE STUDY
There are 23 Personal Soft Skills indicator, namely: Personal Effectiveness, Flexibility, Manage...
ABSTRACT
In spite of their immeasurable benefits to life sustenance, the sustainable management of forest and forest re...
ABSTRACT
The Nigerian corporate income tax system provides investment incentives that vary across asset types. Do corpor...
STATEMENT OF RESEARCH PROBLEMS
Nigeria’s urban population has been growing at an alarming rate. Nigerian towns and...
ABSTRACT
The study examined the impact of capital structure on the profitability of selected quoted insurance companies...
Abstract
Declining productivity of yam in Nigeria highlighted the need for a study to determine both th...