Hans Julius Zassenhaus
Encyclopedia
Hans Julius Zassenhaus (28 May 1912–21 November 1991) was a German
mathematician
, known for work in many parts of abstract algebra
, and as a pioneer of computer algebra.
He was born in Koblenz
–Moselweiss, and became a student and then assistant of Emil Artin
. He was subsequently a professor at McGill University
, the University of Notre Dame
, and Ohio State University
, and was one of the founding editors of the Journal of Number Theory
. He died in Columbus, Ohio
.
A famous group theory
book based on a course by Emil Artin
given at the University of Hamburg
during winter semester 1933 and summer semester 1934.
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, known for work in many parts of abstract algebra
Abstract algebra
Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras...
, and as a pioneer of computer algebra.
He was born in Koblenz
Koblenz
Koblenz is a German city situated on both banks of the Rhine at its confluence with the Moselle, where the Deutsches Eck and its monument are situated.As Koblenz was one of the military posts established by Drusus about 8 BC, the...
–Moselweiss, and became a student and then assistant of Emil Artin
Emil Artin
Emil Artin was an Austrian-American mathematician of Armenian descent.-Parents:Emil Artin was born in Vienna to parents Emma Maria, née Laura , a soubrette on the operetta stages of Austria and Germany, and Emil Hadochadus Maria Artin, Austrian-born of Armenian descent...
. He was subsequently a professor at McGill University
McGill University
Mohammed Fathy is a public research university located in Montreal, Quebec, Canada. The university bears the name of James McGill, a prominent Montreal merchant from Glasgow, Scotland, whose bequest formed the beginning of the university...
, the University of Notre Dame
University of Notre Dame
The University of Notre Dame du Lac is a Catholic research university located in Notre Dame, an unincorporated community north of the city of South Bend, in St. Joseph County, Indiana, United States...
, and Ohio State University
Ohio State University
The Ohio State University, commonly referred to as Ohio State, is a public research university located in Columbus, Ohio. It was originally founded in 1870 as a land-grant university and is currently the third largest university campus in the United States...
, and was one of the founding editors of the Journal of Number Theory
Journal of Number Theory
The Journal of Number Theory , often abbreviated J. Number Theory or J. Num. Th. in bibliographies, is a mathematics journal that publishes a broad spectrum of original research in number theory. The journal was founded in 1969 by R.P. Bambah, P. Roquette, A. Ross, A. Woods, and H. Zassenhaus,...
. He died in Columbus, Ohio
Columbus, Ohio
Columbus is the capital of and the largest city in the U.S. state of Ohio. The broader metropolitan area encompasses several counties and is the third largest in Ohio behind those of Cleveland and Cincinnati. Columbus is the third largest city in the American Midwest, and the fifteenth largest city...
.
Important publications
- Hans Julius Zassenhaus (1937), Lehrbuch der Gruppentheorie ("Textbook of group theory")
A famous group theory
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and...
book based on a course by Emil Artin
Emil Artin
Emil Artin was an Austrian-American mathematician of Armenian descent.-Parents:Emil Artin was born in Vienna to parents Emma Maria, née Laura , a soubrette on the operetta stages of Austria and Germany, and Emil Hadochadus Maria Artin, Austrian-born of Armenian descent...
given at the University of Hamburg
University of Hamburg
The University of Hamburg is a university in Hamburg, Germany. It was founded on 28 March 1919 by Wilhelm Stern and others. It grew out of the previous Allgemeines Vorlesungswesen and the Kolonialinstitut as well as the Akademisches Gymnasium. There are around 38,000 students as of the start of...
during winter semester 1933 and summer semester 1934.
See also
- Zassenhaus lemmaZassenhaus lemmaIn mathematics, the butterfly lemma or Zassenhaus lemma, named after Hans Julius Zassenhaus, is a technical result on the lattice of subgroups of a group or the lattice of submodules of a module, or more generally for any modular lattice....
- Zassenhaus groupZassenhaus groupIn mathematics, a Zassenhaus group, named after Hans Julius Zassenhaus, is a certain sort of doubly transitive permutation group very closely related to rank-1 groups of Lie type.- Definition :...
- Zassenhaus dual expansion
- Cantor–Zassenhaus algorithm
- Schur–Zassenhaus theoremSchur–Zassenhaus theoremThe Schur–Zassenhaus theorem is a theorem in group theory which states that if G is a finite group, and N is a normal subgroup whose order is coprime to the order of the quotient group G/N, then G is a semidirect product of N and G/N....