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Bernhard Neumann

Bernhard Neumann
Bernhard Neumann.jpg
Born (1909-10-15)15 October 1909
Berlin, Germany
Died 20 October 2002(2002-10-20) (aged 93)
Canberra, Australia
Nationality British and Australian
Fields Mathematics
Institutions Australian National University
University of Manchester
Alma mater University of Berlin
University of Cambridge
Doctoral advisor Issai Schur
Philip Hall
Doctoral students Gilbert Baumslag
John Britton
László Kovács
Michael Newman
James Wiegold
Known for Petr–Douglas–Neumann theorem
Notable awards Adams Prize (1952)

Bernhard Hermann Neumann AC FRS (15 October 1909 – 21 October 2002) was a German-born British-Australian mathematician who was a leader in the study of group theory.

After gaining a D Phil from Friedrich-Wilhelms Universität in Berlin in 1932 he earned a PhD at the University of Cambridge in 1935 and a Doctor of Science at the University of Manchester in 1954. His students included Gilbert Baumslag, László Kovács, Michael Newman, and James Wiegold. After war service with the British Army he became a lecturer at University College, Hull, before moving in 1948 to the University of Manchester, where he spent the next 14 years. In 1954 he received a DSc from Cambridge University.

In 1962 he migrated to Australia to take up Foundation Chair of the Department of Mathematics within the Institute of Advanced Studies of the Australian National University (ANU), where he served as Head of the Department until retiring in 1974. In addition he was a Senior Research Fellow at the CSIRO Division of Mathematics and Statistics from 1975 to 1977 and then Honorary Research Fellow from 1978 until his death in 2002.

His wife, Hanna Neumann, and son, Peter M. Neumann, are also notable for their contributions to group theory.

He was elected a Fellow of the Royal Society in 1959. In 1994, he was appointed a Companion of the Order of Australia (AC).

The Australian Mathematical Society awards a student prize named in his honour. The group-theoretic notion of HNN extension (where HNN stands for Higman–Neumann–Neumann) is named in (second) part after him.


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