Bertram Huppert
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Bertram Huppert (22 October 1927 – 1 October 2023) was a German mathematician specialised in
group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ( ...
and the
representation theory of finite groups The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations of groups on vector spaces. Nevertheless, groups acting on other groups or on sets are ...
. His ''Endliche Gruppen'' (
finite group In abstract algebra, a finite group is a group whose underlying set is finite. Finite groups often arise when considering symmetry of mathematical or physical objects, when those objects admit just a finite number of structure-preserving tra ...
s) is an influential textbook in group theory, and he has over 50 doctoral descendants.


Life


Early life and education

Bertram Huppert was born in
Worms, Germany Worms (; ) is a city in Rhineland-Palatinate, Germany, situated on the Upper Rhine about south-southwest of Frankfurt, Frankfurt am Main. It had about 84,646 inhabitants . A pre-Roman foundation, Worms is one of the oldest cities in northern ...
on 22 October 1927. He went to school in
Bonn Bonn () is a federal city in the German state of North Rhine-Westphalia, located on the banks of the Rhine. With a population exceeding 300,000, it lies about south-southeast of Cologne, in the southernmost part of the Rhine-Ruhr region. This ...
from 1934 until 1945. In 1950, he wrote his diploma thesis in mathematics at the
University of Mainz The Johannes Gutenberg University Mainz () is a public research university in Mainz, Rhineland Palatinate, Germany. It has been named after the printer Johannes Gutenberg since 1946. it had approximately 32,000 students enrolled in around 100 a ...
. The thesis discussed "''nicht fortsetzbare Potenzreihen''" (discontinuous
power series In mathematics, a power series (in one variable) is an infinite series of the form \sum_^\infty a_n \left(x - c\right)^n = a_0 + a_1 (x - c) + a_2 (x - c)^2 + \dots where ''a_n'' represents the coefficient of the ''n''th term and ''c'' is a co ...
), and was written under the direction of Helmut Wielandt. When Wielandt moved to the
University of Tübingen The University of Tübingen, officially the Eberhard Karl University of Tübingen (; ), is a public research university located in the city of Tübingen, Baden-Württemberg, Germany. The University of Tübingen is one of eleven German Excellenc ...
in April 1951, Huppert followed him later in the year, and gained his doctorate (as Wielandt's first doctoral student) with the work "''Produkte von paarweise vertauschbaren zyklischen Gruppen''" (products of pairwise permutable
cyclic group In abstract algebra, a cyclic group or monogenous group is a Group (mathematics), group, denoted C_n (also frequently \Z_n or Z_n, not to be confused with the commutative ring of P-adic number, -adic numbers), that is Generating set of a group, ge ...
s), in which he showed, among other things, that such groups were supersoluble. This was the first of more than forty further scientific works, not including his books and
monograph A monograph is generally a long-form work on one (usually scholarly) subject, or one aspect of a subject, typically created by a single author or artist (or, sometimes, by two or more authors). Traditionally it is in written form and published a ...
s. The focus of the dissertation was very close to Wielandt's interests at the time, whose 1951 work shows that the product of pairwise permutable
nilpotent group In mathematics, specifically group theory, a nilpotent group ''G'' is a group that has an upper central series that terminates with ''G''. Equivalently, it has a central series of finite length or its lower central series terminates with . I ...
s is solvable.


Academic career

Huppert spent the years 1963/64 as a visiting professor at the
University of Illinois at Urbana-Champaign The University of Illinois Urbana-Champaign (UIUC, U of I, Illinois, or University of Illinois) is a public land-grant research university in the Champaign–Urbana metropolitan area, Illinois, United States. Established in 1867, it is the f ...
and at the
California Institute of Technology The California Institute of Technology (branded as Caltech) is a private research university in Pasadena, California, United States. The university is responsible for many modern scientific advancements and is among a small group of institutes ...
(Caltech) in
Pasadena Pasadena ( ) is a city in Los Angeles County, California, United States, northeast of downtown Los Angeles. It is the most populous city and the primary cultural center of the San Gabriel Valley. Old Pasadena is the city's original commercial d ...
. In January 1965, he became a professor of pure mathematics at the University of Mainz, where he later became a
professor emeritus ''Emeritus/Emerita'' () is an honorary title granted to someone who retirement, retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". ...
in 1994. He put a lot of effort into building up the Mainz
group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ( ...
and
abstract algebra In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are set (mathematics), sets with specific operation (mathematics), operations acting on their elements. Algebraic structur ...
research groups. Following an assignment, he wrote a monumental standard text in the theory of
finite groups In abstract algebra, a finite group is a group (mathematics), group whose underlying set is finite set, finite. Finite groups often arise when considering symmetry of Symmetry in mathematics, mathematical or Symmetry (physics), physical objects, ...
, ''Endliche Gruppen I''. The group around
Wolfgang Gaschütz Wolfgang Gaschütz (11 June 1920 – 7 November 2016) was a German mathematician, known for his research in group theory, especially the theory of finite groups. (article written by L. A. Shemetkov & R. Schmidt) Biography Gaschütz was born on 11 ...
in
Kiel Kiel ( ; ) is the capital and most populous city in the northern Germany, German state of Schleswig-Holstein. With a population of around 250,000, it is Germany's largest city on the Baltic Sea. It is located on the Kieler Förde inlet of the Ba ...
provided important contributions in discussions to that volume. Volumes II and III appeared 14 years later in English with co-author Norman Blackburn. In 1984, Huppert founded, together with
Gerhard Michler Gerhard is a name of Germanic origin and may refer to: Given name * Gerhard (bishop of Passau) (fl. 932–946), German prelate * Gerhard III, Count of Holstein-Rendsburg (1292–1340), German prince, regent of Denmark * Gerhard Barkhorn (1919–19 ...
, the first
Deutsche Forschungsgemeinschaft The German Research Foundation ( ; DFG ) is a German research funding organization, which functions as a self-governing institution for the promotion of science and research in the Federal Republic of Germany. In 2019, the DFG had a funding bu ...
priority programme in Mathematics at the German universities of
Aachen Aachen is the List of cities in North Rhine-Westphalia by population, 13th-largest city in North Rhine-Westphalia and the List of cities in Germany by population, 27th-largest city of Germany, with around 261,000 inhabitants. Aachen is locat ...
,
Bielefeld Bielefeld () is a city in the Ostwestfalen-Lippe Region in the north-east of North Rhine-Westphalia, Germany. With a population of 341,755, it is also the most populous city in the administrative region () of Detmold (region), Detmold and the L ...
,
Essen Essen () is the central and, after Dortmund, second-largest city of the Ruhr, the largest urban area in Germany. Its population of makes it the fourth-largest city of North Rhine-Westphalia after Cologne, Düsseldorf and Dortmund, as well as ...
and
Mainz Mainz (; #Names and etymology, see below) is the capital and largest city of the German state of Rhineland-Palatinate, and with around 223,000 inhabitants, it is List of cities in Germany by population, Germany's 35th-largest city. It lies in ...
. From 1964 to 1985, Huppert was a member of the editorial board of the
Journal of Algebra ''Journal of Algebra'' (ISSN 0021-8693) is an international mathematical research journal in algebra. An imprint of Academic Press, it is published by Elsevier Elsevier ( ) is a Dutch academic publishing company specializing in scientific, te ...
. Together with
Wolfgang Gaschütz Wolfgang Gaschütz (11 June 1920 – 7 November 2016) was a German mathematician, known for his research in group theory, especially the theory of finite groups. (article written by L. A. Shemetkov & R. Schmidt) Biography Gaschütz was born on 11 ...
and
Karl W. Gruenberg 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. Education and career At the age of eleven, Gruenberg was one of the many Jew ...
, he organised
Oberwolfach Oberwolfach () is a town in the district of Ortenau (district), Ortenau in Baden-Württemberg, Germany. It is the site of the Oberwolfach Research Institute for Mathematics, or Mathematisches Forschungsinstitut Oberwolfach. Geography Geograph ...
workshops on group theory over many years, and with Michler the Oberwolfach workshop on representation theory. Huppert was a founding member of the Institute of Experimental Mathematics of the University of Essen and is a member of the ''Akademie gemeinnütziger Wissenschaften zu Erfurt''.


Death

Huppert died on 1 October 2023, at the age of 94.


Selected bibliography

* Endliche Gruppen (Springer, 1967) * Finite Groups II, III (with N. Blackburn, Springer, 1981/82) und * Stochastische Matrizen (with F.J. Fritz, W.Willems, Springer, 1979) * Angewandte Lineare Algebra (de Gruyter, 1990), * Character Theory of Finite Groups (de Gruyter, 1998), * Lineare Algebra (with Wolfgang Willems) (Teubner, 2006),


References


Sources

* Wolfgang Willems: ''Laudatio gehalten am 19. Juni 1998 in Mainz bei einem Festkolloquium aus Anlaß des 70. Geburtstags von Professor Dr. Bertram Huppert.'
(Postscript file)


External links

*
Institut für Mathematik der Universität Mainz

Oberwolfach Photo Collection
{{DEFAULTSORT:Huppert, Bertram 1927 births 2023 deaths Group theorists Johannes Gutenberg University Mainz alumni Academic staff of Johannes Gutenberg University Mainz 20th-century German mathematicians 21st-century German mathematicians German expatriates in the United States People from Worms, Germany