Karl W. Gruenberg

{{Short description|British mathematician}}

{{Use dmy dates|date=February 2020}}

{{EngvarB|date=February 2020}}

{{About|the British mathematician|the German otologist |Karl Grünberg (otologist)}}

{{Infobox scientist

| name = Karl Walter Gruenberg

| image = Hirsch gruenberg bruck.jpg

| image_size = 260 px

| alt =

| caption = Karl W. Gruenberg (center) with
K. A. Hirsch (left) and R. H. Bruck (right)

| birth_date = {{Birth date|df=y|1928|06|03}}

| birth_place = Vienna, Austria

| death_date = {{Death date|df=y|2007|10|10}}

| death_place = London, England

| residence =

| citizenship =

| nationality = British

| fields = Mathematics

| workplaces = Queen Mary College
London University

| alma_mater = Magdalene College, Cambridge

| thesis_title = A Contribution to the Theory of Commutators in Groups and Associative Rings

| thesis_url =

| thesis_year =

| doctoral_advisor = Philip Hall

| academic_advisors =

| doctoral_students =

| notable_students =

| known_for = cohomology theory of groups

| influences =

| influenced =

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| signature_alt =

| website =

| footnotes =

| spouse = {{plainlist|

  • Katherine
  • Margaret

}}

}}

Karl W. Gruenberg (3 June 1928 – 10 October 2007) was a British mathematician who specialised in group theory, in particular with the cohomology theory of groups.[http://www-users.math.umn.edu/~webb/Publications/GruenbergIntro.pdf Special issue in memory of Karl Walter Gruenberg] Journal of Algebra, Volume 326, Issue 1, 15 January 2011

Education and career

At the age of eleven, Gruenberg was one of the many Jewish children sent from Austria to Great Britain as part of the Kindertransport in 1939.{{cite web |url=http://www.historylearningsite.co.uk/kindertransport.htm |title=Kindertransport |date=July 2009 |publisher=History Learning Site |accessdate=2 February 2014}} Most of the Kindertransport children never saw their parents again but Karl was lucky and his mother soon joined him, and they moved to London in 1943 where he entered Kilburn Grammar School.{{MacTutor Biography|id=Gruenberg}} In 1946 he won a scholarship to study mathematics at Magdalene College, Cambridge, where he received a BA degree in 1950 (duly upgraded to MA (Cantab.) in 1954.{{Who's Who | title=GRUENBERG, Prof. Karl Walter | id = U18356 | type = was | volume = 2019 | edition = online}} He was appointed as an Assistant Lecturer in Mathematics at Queen Mary College, London University from 1953 to 1955. He got his PhD in 1954 under Philip Hall at Cambridge with his treatise "A Contribution to the Theory of Commutators in Groups and Associative Rings".[https://www.theguardian.com/news/2007/dec/12/obituaries.mainsection Karl Gruenberg obituary] The Guardian, 11 December 2007 He was awarded a Commonwealth Fund Fellowship which made it possible for him to spend 1955–56 at Harvard and then 1956–57 at the Institute for Advanced Study in Princeton, New Jersey.[https://www.ias.edu/scholars/karl-w-gruenberg Karl W. Gruenberg] Institute for Advanced Study: A Community of Scholars In 1948 he became a British citizen.

In 1967 he moved back to Queen Mary College where he became a leading figure in the algebra research community and where he remained for the rest of his career. He became a professor in the Department of Pure Mathematics where he worked with Bertram Huppert and Wolfgang Gaschütz organising the group theory conferences at the Mathematical Research Institute of Oberwolfach in Germany.

He had a son Mark and a daughter Anne by his first wife Katherine. For thirty years he was married to his second wife Margaret.[https://www.independent.co.uk/news/obituaries/professor-karl-gruenberg-leading-light-in-algebra-research-768819.html Professor Karl Gruenberg: Leading light in algebra research] The Independent, 8 January 2008

Works

;papers

  • [https://doi.org/10.1112/jlms/s1-43.1.239 The Universal Coefficient Theorem in the Cohomology of Groups] Journal of the London Mathematical Society 27 May 1966
  • Some cohomological notes in group theory, Queen Mary College Math. Notes, 1968
  • Relation modules of finite groups, CBMS Regional Conf. Series Math., American Mathematical Society 1976

;books

  • 1970 ''[https://www.springer.com/us/book/9783540049326 Cohomological topics in group theory] {{ISBN|978-3-540-36303-3}}
  • 1977 [https://books.google.com/books/about/Linear_geometry.html?id=PshPAQAAIAAJ Linear geometry] (with A. J. Weir), Springer-Verlag
  • 1984 Group theory : essays for Philip Hall, J E Roseblade & Philip Hall, London : Academic Press, {{ISBN|012304880X}}
  • 1988 [https://books.google.com/books/about/The_collected_works_of_Philip_Hall.html?id=F-vuAAAAMAAJ The collected works of Philip Hall] (with J. E. Roseblade), Clarendon Press, 1988, {{ISBN|0198532547}}
  • 2002 Una introduzione all'algebra omologica

References

{{Reflist|30em}}