Thesis (Ph. D.)--University of Adelaide, 1984. / Dated 1983. Includes bibliographical references (leaves 143-145).

Habilitationsschrift--Technische Hochschule Darmstadt. / Cover title. Includes bibliographical references.

Thesis--University of Wisconsin--Madison. / Typescript. Vita. Includes bibliographical references (leaves 81-82).

Thesis (Ph. D.)--University of Chicago, Department of Mathematics, June 2003. / Includes bibliographical references. Also available on the Internet.

No description available.

No description available.

The main goal of this thesis is to present the theory of Locally Nilpotent Derivations and to show how it can be used to investigate the structure of the polynomial ring in two variables k[X;Y] over a field k of characteristic zero. The thesis gives a com- plete proof of Rentschler's Theorem, which describes all locally nilpotent derivations of k[X;Y]. Then we present Rentschler's proof of Jung's Theorem, which partially describes the group of automorphisms of k[X;Y]. Finally, we present the proof of the Structure Theorem for the group of automorphisms of k[X;Y].

Isomorphisms of automorphism groups of reduced torsion abelian p-groups have recently been classified by W. Liebert [L1] and [L2] for p ≠ 2. The primary objective of this study is to investigate the isomorphisms of automorphism groups of reduced mixed modules M and N of torsion-free ranks < ∞ over a complete discrete valuation ring with totally projective torsion submodules t(M) and t(N) respectively. For modules over ℤ(p), p ≠ 2, we show that if AutM and AutN are isomorphic and the quotient modules M/t(M) and N /t(N) are divisible, then M ≃ N.

Thesis--Bonn. Extra t.p. with thesis statement inserted. / Includes bibliographical references (p. 45).

Thesis (Ph. D.)--Florida State University, 2003. / Advisor: Philip L. Bowers, Florida State University, College of Arts and Sciences, Department of Mathematics. Title and description from dissertation home page (viewed Apr. 12, 2004). Includes bibliographical references.