Zvonimir Janko

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Zvonimir Janko (born July 26, 1932 in Bjelovar ) is a Croatian mathematician who became known as the discoverer of the Janko groups , a series of sporadic finite simple groups .

life and work

Janko studied at the University of Zagreb and did his doctorate in 1960 with Vladimir Devide on the subject of "Non-degenerate, linguistic crooked products". He is currently a professor at the Ruprecht-Karls-Universität Heidelberg .

Janko discovered his first sporadic simple group in 1964 when he was at the Australian National University in Canberra (called J1). J2 and J3 followed in 1966 (J3 with Graham Higman and McKay, J2 with Marshall Hall ) and J4 with Simon Norton and Parker in 1975. J4 was the last sporadic simple group to be discovered in 1975 - and according to the classification theorem there is no further. Jankos J1 was the first sporadic group to be found after the Mathieu groups in the 19th century and led to an intensive search for other groups, which began with the discovery of the monster by Robert Griess and Bernd Fischer in 1974 and Janko's discovery of J4 in 1975 was completed.

In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( A class of non-solvable finite groups ).

literature

  • Mark Ronan: Symmetry and the Monster. Oxford University Press, 2006

Web links

Individual evidence

  1. Published in Janko: A new finite simple group with abelian Sylow subgroups and its characterization. In: Journal of Algebra. Volume 3, 1966, pp. 147-186
  2. ^ Janko: Some new finite simple groups of finite order. 1969 Symposia Mathematica (INDAM, Rome, 1967/68), Volume 1, pp. 25-64, Academic Press
  3. Janko: A new finite simple group of order 86,775,570,046,077,562,880 which possesses M24 and the full covering group of M22 as subgroups. In: J. Algebra. Volume 42, 1976, pp. 564-596