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The Inner Automorphism Nearrings I(G) on all Nonabelian Groups G of Order |G| ≤ 100

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Nearrings, Nearfields and K-Loops

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

Abstract

This paper consists essentially of a table showing for all 862 non-abelian groups G of order |G| ≤ 100 the order of the inner automorphism nearring (I(G), +, ∘) and the order of the commutator subgroup (I(G)’, +) of (I(G), +). The table was computed by using a program in GAP (Groups, Algorithms and Programming). The extensive calculations were done on a SUN-SPARCstation 20.

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References

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© 1997 Kluwer Academic Publishers

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Saad, G., Syskin, S.A., Thomsen, M.J. (1997). The Inner Automorphism Nearrings I(G) on all Nonabelian Groups G of Order |G| ≤ 100. 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_31

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  • DOI: https://doi.org/10.1007/978-94-009-1481-0_31

  • 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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