BS Mathematics (Morning) (After 2 Years ADP Mathematics)

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MATH-421 Group Theory-III

Overview

Solvable Groups  Solvable groups, definition and examples
 Theorems on solvable groups
 Super-solvable groups
Nilpotent Groups
 Characterisation of finite nilpotent groups
 Upper and lower central series
 Frattini subgroups, free groups, basic theorems
 Definition and examples of free products of groups
Linear Groups
 Linear groups, types of linear groups
 Representation of linear groups
 Group algebras and representation modules


Credit hours/ Marks:- 3

1. J. Rotman, The Theory of Groups, 2nd edition, (Allyn and Bacon, London, 1978) 2. J. B. Fraleigh, A First Course in Abstract Algebra, 7th edition, (Addison-Wesley Publishing Co., 2003) 3. H. Marshall, The Theory of Groups, (Macmillan, 1967) 4. J. A. Gallian, Contemporary Abstract Algebra, 4th edition, (Narosa 1998) 5. J. S. Rose, A Course on Group Theory, (Dover Publications, New York, 1994) 6. K. Hoffman, Linear Algebra, 2nd edition, (Prentice Hall, 1971

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