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Groups St Andrews 2005, p. 237-245

DOI: 10.1017/cbo9780511721212.016

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Integral group ring of the first Mathieu simple group

Journal article published in 1970 by Victor A. (1965-) (matematikus) Bovdi, Viktor Bódi, Alexander B. Konovalov ORCID
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This paper is available in a repository.

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Abstract

We investigated the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11. As a consequence, for this group we confirm the conjecture by Kimmerle about prime graphs. Introduction and main results Let V (ZG) be the normalized unit group of the integral group ring ZG of a finite group G. The following famous conjecture was formulated by H. Zassenhaus in [15]: (ZC). Every torsion unit u ∈ V (ZG) is conjugated within rational group algebra QG to an element of G.