Subsections
[Cr:3, Lc:2, Tt:1, Lb:0]
- Basic operations, row reduction, determinant and trace, Cramer's rule.
- Basic notions of groups, permutation groups.
- Group actions, prime-power groups.
- Finite Abelian groups.
- Matrix groups,
and rotations.
- Groups of symmetries of real plane and Platonic solids.
- Vector spaces and linear transformations, eigen values and eigen
vectors, diagonalization.
- M. A. Armstrong, Groups and Symmetry, Springer (1988).
- M. Artin, Algebra, Prentice-Hall of India, New Delhi (1994).
- I. S. Luthar and I. B. S. Passi, Algebra Vol. I, Narosa
Publishing House, New Delhi (1996).
- J. A. Gallian, Contemporary Abstract Algebra, D. C. Heath
Canada (1986).
