DETERMINATION OF THE NUMBER OF NON-ABELIAN ISOMORPHIC TYPES OF CERTAIN FINITE GROUPS
- Project Research
- 1-5 Chapters
- Abstract : Available
- Table of Content: Available
- Reference Style: APA
- Recommended for : Student Researchers
- NGN 3000
Abstract
The first part of this work established, with examples, the fact that there are more than one non-abelian isomorphic types of groups of order n = sp, (s,p) = 1, where s
1 was worked out and such groups have no non-abelian isomorphic types. This gave credence to the fact that a group of order 15 and its like do not have a non-abelian isomorphic type. It also generated the non-abelian isomorphic types of groups of order n = spq, where s, p and q are distinct primes considering the congruence relationships between the primes. It was seen that there are more nonabelian isomorphic types when q 1 (mod p), q 1 (mod s) and p 1 (mod s). When q is not congruent to 1 modulo p but congruent to 1 modulo s fewer non-abelian isomorphic types were obtained. Moreover, if q is not congruent to 1 modulo p, q not congruent to 1 modulo s, and p not congruent to 1 modulo s, there cannot be a nonabelian isomorphic type of a group of order n = spq. In this case groups of order n = 2pq, 3pq, 5pq and 7pq were considered. Later, proofs of the number of nonabelian isomorphic types for n =sp and n =spq using the examples earlier generated were given.
Related Project Materials
THE IMPACT OF INDUSTRIAL OUTPUT ON ECONOMIC GROWTH OF NIGERIA
BACKGROUND OF STUDY
The oil boom of the 1970s led Nigeria to neglect its agricultural and light manufac...
THE ROLE OF EARLY CHILDHOOD EDUCATION IN FOSTERING CURIOSITY
ABSTRACT: The role of early childhood education in fostering curiosity is cruci...
MANAGEMENT AND CONTROL OF INVENTORY IN GOVERNMENT HEALTH INSTITUTION
STATEMENT OF THE PROBLEM
A large proportion of the government health institutions are faced with similar problems. These problems hinder...
PHYTOCHEMICAL AND SOME BIOLOGICAL STUDIES OF THE METHANOL LEAF EXTRACT OF ASPILIA AFRICANA (PERS.) C. D. ADAMS (ASTERACEAE)
Abstract
Aspilia africana, (Pers) C.D. Adams; (Asteraceae), a semi perennial woody plant, commonly known as haemorrhage plant is widely d...
EFFECT OF CASSAVA FLOUR INCORPORATION IN THE FISH FEED EXTRUDATES
BACKGROUND OF THE STUDY
Aquaculture, the farming of aquatic organisms such as fish, has experienced significant growth...
THE USE OF INSTRUCTIONAL MATERIALS IN TEACHING READING IN PRIMARY SCHOOLS IN KANAM LOCAL GOVERNMENT AREA OF PLATEAU STATE
-
- STATEMENT OF THE PROBLEM
Over the years, there has been a general decline...
THE IMPACT OF FISCAL POLICY ON ECONOMIC PERFORMANCE IN NIGERIA (1981-2016)
ABSTRACT
The study examines the impact of fiscal policy on economic performance in Nigeria between 1981 and 2016. Fiscal policy is repres...
3D First Person Shooter PC Game
ABSTRACT
Monsters Within is a fun 3D FPS horror survival game on the Windows platform that demands its players to have fast reflexes, qui...
UTILIZATION OF CAPITAL BUDGETING AS AN OPTIMAL TOOL FOR INVESTMENT ANALYSIS IN MANUFACTURING COMPANIES IN ENUGU AND ANAMBRA STATES
INTRODUCTION
Background of the Study
A company is a form of business organization, a corporate body or a corpo...
ASSESSMENT OF MORPHO-PHYSIOLOGICAL VARIATIONS IN TRADITIONAL AND IMPROVED CULTIVARS OF RICE (Oriza sativa L.)
ABSTRACT
A total of twenty two improved rice cultivars were collected from the National Cereals Research Institute (NCRI), Baddegi Rice B...
