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Integral group ring of the Mathieu simple groupM 12

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Abstract

We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic groupM 12. As a consequence, we confirm for this group the Kimmerle’s conjecture on prime graphs.

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Author notes

  1. A. B. Konovalov

    Present address: Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Brussel, Belgium

Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, P.O. Box 12, H-4010, Debrecen, Hungary

    V. A. Bovdi

  2. Institute of Mathematics and Informatics, College of Nyíregyháza, Sóstói út 31/b, H-4410, Nyíregyháza, Hungary

    V. A. Bovdi

  3. Department of Mathematics, Zaporozhye National University, 66 Zhukovskogo str., 69063, Zaporozhye, Ukraine

    A. B. Konovalov

  4. Dipartimento di Matematica “E. De Giorgi”, Universitá degli Studi di Lecce, Via Provinciale Lecce-Arnesano, 73100, LECCE, Italy

    S. Siciliano

Authors
  1. V. A. Bovdi
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  2. A. B. Konovalov
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  3. S. Siciliano
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Additional information

The research was supported by OTKA grants No. T 43034, No.K61007 and Francqui Stichting (Belgium) grant ADSI107.

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Bovdi, V.A., Konovalov, A.B. & Siciliano, S. Integral group ring of the Mathieu simple groupM 12 . Rend. Circ. Mat. Palermo 56, 125–136 (2007). https://doi.org/10.1007/BF03031434

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  • DOI: https://doi.org/10.1007/BF03031434

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