Torsion Units in the Integral Group Ring of the Alternating Group of Degree 6

DOI10.1080/00927870701545069zbMath1161.16023OpenAlexW2038310601MaRDI QIDQ5436337

Mohammed A. Salim

Publication date: 14 January 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701545069

zbMATH Keywords

groups of unitsintegral group ringsKimmerle conjecturepartial augmentationstorsion unitsZassenhaus conjecturesalternating group \(A_6\)

Mathematics Subject Classification ID

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 (8)

Torsion units for a Ree group, Tits group and a Steinberg triality group. ⋮ Zassenhaus conjecture for \(A_6\). ⋮ 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) ⋮ From examples to methods: Two cases from the study of units in integral group rings ⋮ An application of blocks to torsion units in group rings

Uses Software

• LAGUNA

Cites Work

• Torsion units in integral group rings of some metabelian groups. II
• Zassenhaus conjecture for \(A_5\)
• Zassenhaus conjecture for S₅
• Torsion units in integral group rings.
• Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus
• On the Structure of Integral Group Rings of Sporadic Groups
• On the Structure of Group Algebras, I
• Isomorphisms of p-adic group rings
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