The linking systems of the Solomon 2‐local finite groups are simply connected

Keywords

Sylow theorems, Mathematics, Realization (probability), Finite group, Group (periodic table)

References

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• The Classification of the Finite Simple GroupsDaniel Gorenstein, Richard Lyons, Ronald Solomon — 1994
• The homotopy theory of fusion systemsCarles Broto, Ran Levi, Bob Oliver — 2003
• A group-theoretic approach to a family of 2-local finite groups constructed by Levi and OliverMichael Aschbacher, Andrew Chermak — 2010
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• Finiteness of quotient groups of discrete subgroupsG. A. Margulis — 1979
• Homotopy equivalences of p-completed classifying spaces of finite groupsCarles Broto, Ran Levi, Bob Oliver — 2003
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• A new finite loop space at the prime twoW. G. Dwyer, Clarence Wilkerson — 1993
• Construction of 2-local finite groups of a type studied by Solomon and BensonRan Levi, Bob Oliver — 2002
• Subgroup Families Controlling p‐Local Finite GroupsCarles Broto, Natàlia Castellana, Jesper Grodal — 2004
• Sporadic groups, code loops and nonvanishing cohomologyRobert L. Griess — 1987

Cited by

• Fusion Systems in Algebra and TopologyMichael Aschbacher, Radha Kessar, Bob Oliver — 2011
• Weights in a Benson-Solomon blockJustin Lynd, Jason Semeraro — 2017
• Fusion systems with Benson–Solomon componentsEllen Henke, Justin Lynd — 2018
• Extensions of the Benson-Solomon Fusion SystemsPIMS Summer School and Workshop on Geometric and Topological Aspects of the Representation Theory of Finite Groups 2016 Vancouver, British Columbia, Carlson, Jon F. 1940-, Srikanth B. Iyengar — 2016
• FUSION SYSTEMSMichael Aschbacher, Bob Oliver — 2016
• Subgroup collections controlling the homotopy type of a p-local compact groupEva Belmont, Natàlia Castellana, Kathryn Lesh — 2023
• On geometries of the Conway group Co3 and their McLaughlin group subgeometriesА. А. Иванов — 2026
• Computing higher limits over the fusion orbit category via amalgamsMarco Praderio Bova — 2026
• Subgroup collections controlling the homotopy type of a p-local compact groupEva Belmont, Natàlia Castellana, Kathryn Lesh — 2022
• Embeddable partial groupsPhilip Hackney, Justin Lynd, Edoardo Salati — 2026
• University of Aberdeen Fusion systems with Benson-Solomon componentsHenke — 2018

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