Research papers: Dave Rusin

I have here some of my own published papers in their original TeX form. I don't know if this is a violation of copyright. (Probably is, but everyone seems to do it. That makes it OK, right? :-) )

What do people expect to find here? papers? preprints? half-baked ideas? I've got 'em all; let me know what you think ought to be here. I guess my intention for now is to put TeX files only, which will limit me mostly to things which actually made it into print recently.

• What is the probability that two elements of a finite group commute?, Pacific Jour. Math. 82 (1979), 237-247.
• Cyclotomic polynomials and nonstandard dice, Discrete Math. 27 (1979), 245-259. (with Joseph Gallian)
• Representations of metabelian groups, J. Pure Appl. Algebra 18 (1980), 283-291.
• Groups admitting nilpotent fixed-point-free automorphism groups, Jour. Algebra 64 (1980), 89-92.
• Factoring groups of integers modulo $N$, Math. Mag. 53 (1981), 33-36. (with Joseph Gallian).
• The mod-2 cohomology of metacyclic 2-groups, Jour. Pure and Applied Algebra 44 (1987), 315-327.
• The cohomology of the groups of order 32 Math. Comp.53 (1989), 359-385.
• The 2-groups of rank two, Jour. Algebra 149 (1992) 1-31.
• Kernels of the restriction and inflation maps in group cohomology J. Pure Appl. Alg. 79 (1992) 191-204.
• recursion -- n divides the nth term in a linear recurrence (NOT)
• Rational Triangles -- are there infinitely many triangles with rational-length sides and the same area?
• Results of a few months' deliberation of some elliptic surfaces; I finally found a rational point!
• Here's "version 0.99" of some maple code for performing iterated descents on elliptic curves over Q with 2-torsion.
• Proof of an effective algorithm for solving Legendre equations with solvability certificates
• Long answer to the question, "For which integer values of n are the equations a/b + b/c + c/a = n or (equivalently) x^3 + y^3 + z^3 = n a x y solvable in integers?" Accompanied by a very long discussion about how to solve Diophantine problems of this type, and tables of solutions to n=200.
• Implementations of Silverman's method for finding points on rank-1 elliptic curves

• My home page is just a short introduction to the pages I maintain
• I keep a large set of pages which provide a thematic introduction to the subject areas of modern mathematics, complete with answers to thousands of more or less common questions.

This page is

	http://www.math.niu.edu/~rusin/research-math/index.html