This collection dates entirely from the period after Frhlich's arrival in Britain in 1945, covering the period, 1948-2006. It is particularly rich in documenting his mathematical researches, including mathematical workings, publications and correspondence with colleagues.
Biographical material includes obituaries and memoirs, material from the Celebration of Frhlich's life, held in the Chapel of Robinson College Cambridge, 10 February 2002, and other tributes. The career, honours and awards subsection includes his Ph.D. thesis 'On some topics in the theory of representation of groups and in class field theory', and correspondence and papers relating to his university appointments and some of his principal honours, including election to the Fellowship of the Royal Society.
Research records are chiefly mathematical workings, notes and drafts, mostly manuscript but some typescript, presented as far as possible in alphabetical order by heading or topic. Some of the material was found in titled folders or envelopes, but much was loose. The material often comprises a number of short paginated sequences, and it is possible some were written as early drafts for publication. Few are dated but the span appears to cover Frhlich's research career and includes work on Galois module theory and Gauss sums. The largest component is material relating to work on the decomposition of primes. Although undated this appears to be work probably begun in the 1950s.
There is comprehensive documentation of Frhlich's published output, from his first article 'The representation of a finite group as a group of automorphisms on a finite Abelian group', Quarterly Journal of Mathematics 2nd ser. vol. 1 (1950), to 'Equivariant Brauer groups' (with C.T.C. Wall), Contemporary Mathematics vol. 272 (2000). The largest single body relates to 'Strict factorisability and shadows', in Algebra and Number Theory, Essen 1992 (ed. G. Frey and J. Ritter), 1994. The material mainly takes the form of offprints, but there are also some drafts of papers and occasionally accompanying mathematical workings. The section also includes a few unpublished drafts, including work with C.T.C. Wall on Brauer groups, 'Galois modules and the functional equation', and a possible draft of a book on 'mathematical theory of ostensive and consequently of empirical predicates'.
Frhlich's conference attendance and overseas visits are covered patchily, 1956-1998, but includes documentation of his participation in influential mathematics meetings held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany and some Visiting Professorships. The material in the main comprises invitations and programmes, and texts or abstracts of lectures delivered are few.
Frhlich's correspondence is arranged in an alphabetical sequence. It is international in scope, with many correspondents from North America, France and Germany. Correspondents particularly well represented include Frhlich's Ph.D. supervisor H.A. Heilbronn, colleagues J.-P. Serre, Olga Taussky-Todd, S.V. Ullom and C.T.C. Wall, and former research students C.J. Bushnell, M.J. Taylor and S.M.J. Wilson. Many of the letters focus on progress of research and include discussions of problems with mathematical workings, sometimes as separate documents, and drafts of papers. Although the correspondence spans 1950-2000, the bulk dates from the 1970s-1990s.
The collection also includes a set of theses of Ph.D. students supervised or examined by Frhlich, including his research students at King's College, together with a number of examination papers, some with Frhlich's manuscript calculations of answers.