György Hajós

Gyorgy Hajos, Georg Hajos cited, ( born February 21, 1912 in Budapest, † March 17, 1972 ) was a Hungarian mathematician, mainly concerned with geometry.

Life and work

He studied at the Pázmány Péter University (later renamed Eotvos Lorand University ), where he graduated in 1929. While still a student he gave a simple proof of a geometric grid set of Hermann Minkowski. After graduation, he was a teacher and lecturer from 1935 and private tutor at the Technical University of Budapest. In 1938 he received his doctorate. From 1949 he was Professor and Head of geometry at the Eotvos Lorand University in Budapest.

Hajos was secretary of the Mathematics and Physics Section of the Hungarian Academy of Sciences. He was for many years President of the Mathematical Society Janós Bolyai and 10 years editor of Acta Mathematica Academiae Scientiarum Hungaricae

It dealt among other things with Nomographie, error calculation, non-Euclidean geometry, discrete geometry, elementary geometry.

In 1941 he proved a gentle Hermann Minkowski suspected worsening of its linear form set in the geometry of numbers, the Minkowski - Hajos theorem, where many well-known mathematicians had failed previously. It was in the transition from less than or equal relations in the inequalities of the linear form set to strict smaller relations. For this he received in 1942 the King Gyula price of Mathematical and Physical Society Lorand Eötvös. Hajos had changed and proved the geometric problem into a group theoretic. The proof of the group theoretical theorem has been simplified by László Rédei and generalizes the theorem.

In 1948 he became a corresponding and 1953 full member of the Hungarian Academy of Sciences. He was a member of the Leopoldina and corresponding member of the Romanian Academy of Sciences (1965 ) since 1967. 1951 and 1962 he was awarded the Kossuth Prize and also the Beke Manó Memorial Award. He was awarded the Order of the Lion of Finland.

From him comes the (generally in the meantime disproved ) conjecture of Hajos graph theory and another unsolved conjecture on circle decomposition of graphs of 1968 ( Every simple graph with n nodes that have even degree, can be decomposed into at most circles).

Writings

• Introduction to geometry, Leipzig, Teubner Verlag, Akadémiai Kiadó, Budapest, 1970, new edition 2001 German Harri