INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M24

DOI10.1142/S0219498811005427zbMath1247.16032arXiv0705.1992MaRDI QIDQ5389525

Victor A. Bovdi, Olexandr Konovalov

Publication date: 21 April 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1992

zbMATH Keywords

integral group ringsprime graphsKimmerle conjecturepartial augmentationstorsion unitsZassenhaus conjectureMathieu group \(M_{24}\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (9)

Torsion units for a Ree group, Tits group and a Steinberg triality group. ⋮ Rational Conjugacy of Torsion Units in Integral Group Rings of Non-Solvable Groups ⋮ On the prime graph question for integral group rings of Conway simple groups ⋮ Torsion units for some almost simple groups ⋮ ZASSENHAUS CONJECTURE FOR INTEGRAL GROUP RING OF SIMPLE LINEAR GROUPS ⋮ Torsion units for some projected special linear groups ⋮ Torsion units in the integral group ring of PSL(3, 4) ⋮ An application of blocks to torsion units in group rings ⋮ Orders of units in integral group rings and blocks of defect 1

Cites Work

• Unnamed Item
• Integral group ring of the Mathieu simple group \(M_{12}\).
• Zassenhaus conjecture for \(A_5\)
• On torsion subgroups in integral group rings of finite groups.
• Torsion units in integral group rings of Janko simple groups
• Integral Group Ring of the Mathieu Simple GroupM₂₃
• On the Torsion Units of Some Integral Group Rings
• On the Structure of Group Algebras, I

This page was built for publication: INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M₂₄