Torsion units for some projected special linear groups

DOI10.22108/ijgt.2017.12010zbMath1445.20004OpenAlexW2210713521MaRDI QIDQ5124013

Joe Gildea

Publication date: 17 September 2020

Full work available at URL: https://doaj.org/article/f95b9a41fe1143c891dd34dd85d67389

zbMATH Keywords

Zassenhaus conjectureintegral group ringtorsion unitpartial augmentation

Mathematics Subject Classification ID

Group rings (16S34) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Uses Software

• GAP
• LAGUNA

Cites Work

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• Torsion units in integral group rings of Janko simple groups
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• Zassenhaus conjecture for S₅
• Kimmerle conjecture for the Held and O'Nan sporadic simple groups
• Integral Group Ring of the Mathieu Simple GroupM₂₃
• Integral group ring of the Suzuki sporadic simple group
• Integral group ring of the McLaughlin simple group
• ZASSENHAUS CONJECTURE FOR INTEGRAL GROUP RING OF SIMPLE LINEAR GROUPS
• On the Torsion Units of Some Integral Group Rings
• On the Structure of Group Algebras, I
• INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M₂₄
• Torsion Units in the Integral Group Ring of the Alternating Group of Degree 6
• Zassenhaus conjecture for central extensions of S 5
• Isomorphisms of p-adic group rings

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