Integral Group Ring of the Mathieu Simple GroupM23

DOI10.1080/00927870802068045zbMath1148.16027arXivmath/0612640OpenAlexW2567724584MaRDI QIDQ3514791

Victor A. Bovdi, Olexandr Konovalov

Publication date: 23 July 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612640

zbMATH Keywords

integral group ringsprime graphsKimmerle conjecturepartial augmentationstorsion unitsnormalized unit groupsZassenhaus conjecturesMathieu group \(M_{23}\)

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 (10)

Torsion units for a Ree group, Tits group and a Steinberg triality group. ⋮ INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M₂₄ ⋮ Zassenhaus conjecture for \(A_6\). ⋮ TORSION UNITS IN INTEGRAL GROUP RINGS OF CONWAY SIMPLE 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) ⋮ Torsion units in integral group rings of Janko simple groups

Uses Software

• GAP
• LAGUNA

Cites Work

• Integral group ring of the Mathieu simple group \(M_{12}\).
• Torsion units in integral group rings of some metabelian groups. II
• Zassenhaus conjecture for \(A_5\)
• Linear groups and group rings.
• Zassenhaus conjecture for S₅
• On the Structure of Integral Group Rings of Sporadic Groups
• On the Torsion Units of Some Integral Group Rings
• On the Structure of Group Algebras, I
• Unnamed Item

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