Dieter Held
German mathematician
Dieter Held (born 1936 in Berlin) is a German mathematician.[1] He is known for discovering the Held group, one of the 26 sporadic finite simple groups.[2][3]
Held was a speaker at the 1962 International Congress of Mathematicians.[4] He earned his Ph.D. in 1964 from Goethe University Frankfurt, under the supervision of Reinhold Baer.[5] From June 1965 to October 1967 Held first was lecturer at the Australian National University till July 1966 and then lecturer at Monash University, Clayton, Victoria.[1] After having resigned from his position at Monash University, he returned to Germany and took up a research fellowship from the Deutsche Forschungsgemeinschaft (DFG).[1] The discovery of the Held group occurred towards the end of 1968 after he had investigated the properties of an arbitrary finite simple group having a centralizer of an involution isomorphic to that of the centralizer of an involution in the center of a Sylow 2-subgroup of the Mathieu group M24 on 24 letters.[6][7] Shortly afterwards Graham Higman and John McKay demonstrated that such a group exists, using a computer. This demonstration has not been published. There is a much later paper by Jörg Hrabe de Angelis showing the existence and uniqueness of the Held group.[8]
Up to 2001, Held was professor at the Mathematics Institute of Gutenberg University in Mainz.[1]
References
- ^ a b c d Mitgliederverzeichnis der Deutschen Mathematiker-Vereinigung e. V, 2007.
- ^ Daniel Gorenstein, Finite Simple Groups, an introduction to their classification, 1982 Plenum Press, New York.
- ^ Held group
- ^ Proceedings of the International Congress of Mathematicians, 1962.
- ^ "Dieter Held - the Mathematics Genealogy Project".
- ^ Held, D. (1969a), "Some simple groups related to M24", in Brauer, Richard; Shah, Chih-Han (eds.), Theory of Finite Groups: A Symposium, W. A. Benjamin.
- ^ Held, Dieter (1969b), "The simple groups related to M24", Journal of Algebra, 13 (2): 253–296, doi:10.1016/0021-8693(69)90074-X, MR 0249500.
- ^ Jörg Hrabe de Angelis, A presentation and a representation of the Held group, Arch. Math., Vol. 66, 265-275 (1996)
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