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From Nearrings and Nearfields to K-Loops

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Nearrings, Nearfields and K-Loops

Part of the book series: Mathematics and Its Applications ((MAIA,volume 426))

Abstract

Let me start with some historical remarks on:

“60 years research on Nearrings and Nearfields in Hamburg”.

One of the strongest impulses in the area of nearrings and nearfields started at a Hamburg. In 1934 HANS ZASSENHAUS(28.05.1912 – 21.11.1991) finished his dissertation: “Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen” which was published in 1936 in the “Uber endliche Fastkörper” appeared in Abhandlungen, and only one year later in 1937 he published his book “Lherbuch der Grupentheorie” which ahd an important impact on the development of group theory. Another highlight was the dissertion by F. KALSCHEUER in 1940: “ Die Bestimung aller stetigen Fastkörper ýber dem K00F6;rper der reelen Zahlen als Grundk00F6;rper” supervised by HANS ZASSENHAUS. ZASSENHAUS had also a formative influence on JOHANNES ANDRÉ who had attended several of his lectures in Hamburg.

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Authors and Affiliations

  1. Mathematisches Institut, Technische Universität München, D-80290, München, Germany

    Helmut Karzel

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  1. Helmut Karzel
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Editors and Affiliations

  1. Universität der Bundeswehr Hamburg, Hamburg, Germany

    Gerhard Saad  & Momme Johs Thomsen  & 

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© 1997 Kluwer Academic Publishers

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Karzel, H. (1997). From Nearrings and Nearfields to K-Loops. In: Saad, G., Thomsen, M.J. (eds) Nearrings, Nearfields and K-Loops. Mathematics and Its Applications, vol 426. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1481-0_1

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  • DOI: https://doi.org/10.1007/978-94-009-1481-0_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7163-5

  • Online ISBN: 978-94-009-1481-0

  • eBook Packages: Springer Book Archive

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