On the prime graph question for almost simple groups with an alternating socle

DOI10.1142/S0218196717500175zbMath1381.16037arXiv1510.04598MaRDI QIDQ5269898

Mauricio Caicedo, Andreas Bächle

Publication date: 28 June 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04598

zbMATH Keywords

symmetric groupsfinite groupsalternating groupsgroup ringsprime graph question

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings (16S34) Integral representations of finite groups (20C10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

On the Gruenberg–Kegel graph of integral group rings of finite groups ⋮ On the prime graph question for integral group rings of 4-primary groups I ⋮ Zassenhaus conjecture on torsion units holds for \(\mathrm{PSL}(2,p)\) with \(p\) a Fermat or Mersenne prime ⋮ On the prime graph question for integral group rings of Conway simple groups ⋮ 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

• GAP
• Normaliz
• 4ti2
• Help

Cites Work

• The power of pyramid decomposition in Normaliz
• Zassenhaus conjecture for \(A_6\).
• Torsion units in integral group rings of some metabelian groups. II
• Zassenhaus conjecture for \(A_5\)
• The representation theory of the symmetric groups
• On the prime graph question for integral group rings of 4-primary groups. II.
• HeLP: a GAP package for torsion units in integral group rings
• Zassenhaus conjecture on torsion units holds for \(\mathrm{PSL}(2,p)\) with \(p\) a Fermat or Mersenne prime
• Zassenhaus Conjecture for cyclic-by-abelian groups
• Recent advances on torsion subgroups of integral group rings
• Torsion units in integral group ring of Higman-Sims simple group
• Zassenhaus conjecture for S₅
• Torsion units in integral group rings.
• Rational Conjugacy of Torsion Units in Integral Group Rings of Non-Solvable Groups
• On the Gruenberg–Kegel graph of integral group rings of finite groups
• On the prime graph question for integral group rings of 4-primary groups I
• On the Torsion Units of Some Integral Group Rings
• On the Structure of Group Algebras, I
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