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The Cardinalities of the Endomorphism Near-Rings I(G), A(G), AND E(G) for All Groups G with |G| ≤ 31

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Nearrings, Nearfields and K-Loops

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

Abstract

In this note we present a table showing the cardinalities of the near-rings I(G), A(G), and E(G) for all groups of order less than 32.

Supported by a “Doktorandenstipendium” of the Austrian Academy of Sciences.

Supported by the Austrian “Fonds zur Förderung der wissenschaftlichen Forschung”, Project P11486–TEC.

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References

  1. M. Schönert et al. GAP — Groups, Algorithms and Programming. Lehrstuhl D für Mathematik, RWTH Aachen, July 1994. GAP manual for version 3 release 4.

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  2. A.D. Thomas and G.V. Wood. Group tables. Shiva Publishing Limited, 1980.

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© 1997 Kluwer Academic Publishers

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Aichinger, E., Nöbauer, C. (1997). The Cardinalities of the Endomorphism Near-Rings I(G), A(G), AND E(G) for All Groups G with |G| ≤ 31. 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_8

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  • DOI: https://doi.org/10.1007/978-94-009-1481-0_8

  • 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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