Integral group ring of the Mathieu simple group $M_{24}$

Victor Bovdi; Alexander Konovalov

doi:10.1142/S0219498811005427

Integral group ring of the Mathieu simple group $M_{24}$

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Abstract

We study the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M24. As a consequence, for this group we give a positive answer to the question by Kimmerle about prime graphs.

Original language	English
Article number	1250016
Number of pages	10
Journal	Journal of Algebra and Its Applications
Volume	11
Issue number	1
DOIs	https://doi.org/10.1142/S0219498811005427
Publication status	Published - Feb 2012

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title = "Integral group ring of the Mathieu simple group \$M\_\{24\}\$",

abstract = "We study the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M24. As a consequence, for this group we give a positive answer to the question by Kimmerle about prime graphs.",

author = "Victor Bovdi and Alexander Konovalov",

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AB - We study the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M24. As a consequence, for this group we give a positive answer to the question by Kimmerle about prime graphs.

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DO - 10.1142/S0219498811005427

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VL - 11

JO - Journal of Algebra and Its Applications

JF - Journal of Algebra and Its Applications

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Integral group ring of the Mathieu simple group $M_{24}$

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