3 papers
math.HO2005
Group actions in number theory
Benjamin V. Holt, Tyler J. Evans
Students having had a semester course in abstract algebra are exposed to the elegant way in which finite group theory leads to proofs of familiar facts in elementary number theory.…
math.RT2001
On the restricted Lie algebra structure for the Witt Lie algebra in finite characteristic
Tyler J. Evans, Dmitry Fuchs
We show that the p-operator in the Witt algebra (the restricted Lie algebra of derivations of the quotient of the polynomial algebra over a field of characteristic p by the ideal g…
math.RT2001
Cohomology of Restricted Lie Algebras
Tyler J. Evans
In this dissertation, we investigate the cohomology theory of restricted Lie algebras. The representation theory of restricted Lie algebras is reviewed including a description of t…