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
- 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
- Implementations of Silverman's method for finding points on rank-1 elliptic curves
Other pages at my own web site you may find of interest:
This page is
Last modified 2003/7/25 by Dave Rusin, firstname.lastname@example.org