Klaus W. Roggenkamp

Klaus Wilhelm Roggenkamp (24 December 1940 – 23 July 2021 ) was a German mathematician, specializing in algebra.

Education and career As an undergraduate, Roggenkamp studied mathematics from 1960 to 1964 at the University of Giessen. There in 1967 he received his PhD. His thesis Darstellungen endlicher Gruppen in Polynombereichen (Representations of finite groups in polynomial integral domains) was written under the supervision of Hermann Boerner. As a postdoc, Roggenkamp was at the University of Illinois at Urbana-Champaign, where he studied under Irving Reiner, and at the University of Montreal. After four years as a professor at Bielefeld University, he was appointed to the chair of algebra at the University of Stuttgart. In 1986 Roggenkamp and Scott proved their most famous theorem (published in 1987 in the Annals of Mathematics). Their theorem states that given two finite groups and , if is isomorphic to then is isomorphic to , in the case where and are finite p-groups over the p-adic integers, and also in the case where and are finite nilpotent groups. Their 1987 paper also established a very strong form of a conjecture made by Hans Zassenhaus. The papers of Roggenkamp and Scott were the basis for most developments which followed in the study of finite groups of units of integral group rings. Martin Hertweck, partly building on the techniques introduced by Roggenkamp and Scott for their counterexample, published a counterexample to the conjecture that the "integral isomorphism problem" can always be solved affirmatively.

Roggenkamp was elected a member of the Akademie gemeinnütziger Wissenschaften zu Erfurt (Erfurt Academy of Sciences) and was made an honorary member of Ovidius University of Constanța in Romania.

Selected publications Articles

Books

(reprint of 1970 1st edition) (2014 reprint) (reprint of 1979 original )

(reprint of 1992 original )

as editor book table of contents at Springer website (reprint of 1985 1st edition)