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Integral group ring of Rudvalis simple group

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Ukrainian Mathematical Journal Aims and scope

Using the Luthar–Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Rudvalis sporadic simple group Ru . As a consequence, for this group we confirm the Kimmerle conjecture on prime graphs.

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Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, Debrecen, Hungary

    V. A. Bovdi

  2. School of Computer Science, University of St Andrews, St Andrews, Scotland, UK

    A. B. Konovalov

Authors
  1. V. A. Bovdi
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  2. A. B. Konovalov
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 3–13, January, 2009.

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Bovdi, V.A., Konovalov, A.B. Integral group ring of Rudvalis simple group. Ukr Math J 61, 1–13 (2009). https://doi.org/10.1007/s11253-009-0199-8

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