COMBINATORIAL PROPERTIES OF THE ALTERNATING & DIHEDRAL GROUPS AND HOMOMORPHIC IMAGES OF FIBONACCI GROUPS
- Project Research
- 1-5 Chapters
- Abstract : Available
- Table of Content: Available
- Reference Style: APA
- Recommended for : Student Researchers
- NGN 3000
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.
Related Project Materials
THE EFFECT OF ADVERTISEMENT ON THE DEMAND OF CONSUMERS GOODS: A CASE STUDY OF SEVEN UP BOTTLING COMPANY
Background Of The Study
Advertisement is the collective term for public announcement designed to promot...
ASSESSMENT OF RADON-222 IN SOME SELECTED WATER SOURCES AT DUTSIN-MA TOWN, DUTSIN-MA LOCAL GOVERNMENT AREA, KATSINA STATE
ABSTRACT
Radon is one of the sources of nuclear contamination in water and the largest contributor of t...
AN ASSESSMENT OF READING CULTURE OF PRIMARY SCHOOL PUPILS AND THEIR ACADEMIC PERFORMANCE IN ENGLISH LANGUAGE
BACKGROUND OF THE STUDY
There is no question that a country's degree of development is directly rel...
Comparison of Academic Performance of Junior Secondary School students in English Language and integrated science in external examination
Abstract
The study compared the scores of students in English Language and Integrated Science at the Junior Secondary Sc...
DESIGN AND IMPLEMENTATION OF A COMPUTERISED STUDENTS ADMISSION SYSTEM
Abstract
The ultimate statement of the proposed system is to over come the problems in the existing sys...
IMPACT OF PERSONNEL MANAGEMENT ON TEACHER'S JOB PERFORMANCE
ABSTRACT
This study investigated the impact of personnel management on the performance...
PRODUCTION PROBLEM AND PROSPECT OF REARING POULTRY
EXCERPT FROM THE STUDY
The traditional poultry keeping is generally subsistence in outlook without the use of modern sci...
LIBRARY SERVICES AND LEARNING RESOURCES AS DETERMINANT OF SECONDARY SCHOOL STUDENTS’ ACADEMIC ACHIEVEMENT IN MATHEMATICS
Background to the Study
Library did not come into exis...
THE INFLUENCE OF UNEMPLOYMENT ON YOUTHS INVOLVEMENT IN KIDNAPPING IN NIGERIA
ABSTRACT
This study was carried out to examine the influence of unemployment on youths involvement...
IMPACT OF PRICING POLICY ON PROFITABILITY LEVEL OF AN ORGANIZATION
ABSTRACT
This study was intended to evaluate the impact of pricing on profitability level of an organization. This study...
