Math 500, Abstract Algebra I, Autumn 2004

• W. Burnside, Theory of groups of finite order, Dover, 1955 (reprint of 1911 edition).
• J. L. Alperin and R. Bell, Groups and representations, Springer, 1995.
• M. Burrow, Representation theory of finite groups, Dover 1993 (reprint of 1971 edition).
• M. Atkinson ed., Computational group theory, Academic Press, 1984.
• D. L. Johnson, Presentation of groups, Cambridge UP, 1976.
• D. L. Johnson, Topics in the theory of group presentations, Cambridge UP, 1980.
• Hungerford, Algebra, Springer, 1974.
• Herstein, Topics in algebra, Wiley, 1975.
• Lang, Algebra, Addison-Wesley, 1993.
• Rotman, Advanced modern algebra, Prentice-Hall, 2002.
• Rotman, Galois theory, Springer, 1998.
• L. Gaal, Classical Galois theory (with examples), Chelsea, 1988.
• E. Artin, Galois theory, Notre Dame Press, 1959.
• D. Marcus, Number fields, Springer, 1977.
• G. A. Miller, ``On the product of two substitutions,'' Amer. J. Math. 22 (1900), no. 2, 185--190.
• J. C. Wilson, ``A principal ideal ring that is not a Euclidean ring,'' Math. Mag. 46 (1973), no. 1, 34--38.
• K. S. Williams, ``Note on non-Euclidean principal ideal domains,'' Math. Mag. 48 (1975), no. 3, 176--177.
• L.-C. Kappe and B. Warren, ``An elementary test for the Galois group of a quartic polynomial,'' Amer. Math. Monthly 96 (1989), no. 2, 133--137.
• J. McKay, ``On computing discriminants,'' Amer. Math. Monthly 94 (1987), no. 6, 523--527.