Integral group ring of the Mathieu simple group M23

Mathematics – Rings and Algebras

Scientific paper

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9 pages, updated bibliography and corrected part (i) of the Theorem

Scientific paper

We investigate the classical Zassenhaus conjecture for the unit group of the
integral group ring of Mathieu simple group M23 using the Luthar-Passi method.
This work is a continuation of the research that we carried out for Mathieu
groups M11 and M12. As a consequence, for this group we confirm Kimmerle's
conjecture on prime graphs.

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