The cohomology of the Lyons group and double covers of alternating groups

1997/05/21 by Alejandro Ádem, Dikran Karagueuzian, Adem, Alejandro +5
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/9705229

openalex publication_date 1997/05/21 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We compute the mod 2 cohomology of the sporadic simple group Ly as well as that of the double covers of the alternating groups A₈ and A₁0.

Related

• The cohomology of the McLaughlin group and some associated groups
• Invariants cohomologiques mod 2 et invariants de Witt des groupes alternés
• Mod-two cohomology rings of alternating groups
• Stable cohomology of alternating groups
• The mod 2 cohomology rings of the alternating subgroups of the Coxeter groups of Type B