Heinrich Franz Friedrich Tietze
Encyclopedia
Heinrich Franz Friedrich Tietze (August 31, 1880 – February 17, 1964) was an Austria
n mathematician
, famous for the Tietze extension theorem. He also developed the Tietze transformations
for group presentations
, and was the first to pose the group isomorphism problem
.
He was born in Schleinz, Austria
and died in Munich
, Germany
.
Austria
Austria , officially the Republic of Austria , is a landlocked country of roughly 8.4 million people in Central Europe. It is bordered by the Czech Republic and Germany to the north, Slovakia and Hungary to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the...
n 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....
, famous for the Tietze extension theorem. He also developed the Tietze transformations
Tietze transformations
In group theory, Tietze transformations are used to transform a given presentation of a group into another, often simpler presentation of the same group...
for group presentations
Presentation of a group
In mathematics, one method of defining a group is by a presentation. One specifies a set S of generators so that every element of the group can be written as a product of powers of some of these generators, and a set R of relations among those generators...
, and was the first to pose the group isomorphism problem
Group isomorphism problem
In abstract algebra, the group isomorphism problem is the decision problem of determining whether two group presentations present isomorphic groups....
.
He was born in Schleinz, Austria
Austria
Austria , officially the Republic of Austria , is a landlocked country of roughly 8.4 million people in Central Europe. It is bordered by the Czech Republic and Germany to the north, Slovakia and Hungary to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the...
and died in Munich
Munich
Munich The city's motto is "" . Before 2006, it was "Weltstadt mit Herz" . Its native name, , is derived from the Old High German Munichen, meaning "by the monks' place". The city's name derives from the monks of the Benedictine order who founded the city; hence the monk depicted on the city's coat...
, Germany
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...
.