Zassenhaus conjecture for central extensions of S 5

DOI10.1515/JGT.2008.004zbMath1143.16032arXivmath/0609435WikidataQ123165855 ScholiaQ123165855MaRDI QIDQ5444869

Victor A. Bovdi, Martin Hertweck

Publication date: 26 February 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609435

zbMATH Keywords

symmetric groupsBrauer characterscovering groupsintegral group ringspartial augmentationsZassenhaus conjecturefinite Frobenius groupstorsion units in group rings

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

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Uses Software

• GAP
• LAGUNA

Cites Work

• Torsion units in integral group rings of some metabelian groups. II
• Zassenhaus conjecture for \(A_5\)
• Finite groups of the Lie type of small rank
• Autoequivalences of blocks and a conjecture of Zassenhaus
• Finite Subgroups in Integral Group Rings
• Zassenhaus conjecture for S₅
• Zero Divisors and Idempotents in Group Rings
• Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus
• Trivial Units in Group Rings
• Units of integral group rings of Frobenius groups
• On the Structure of Group Algebras, I

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