The alperin and Uno conjectures for the Fischer simple group Fi(22)

摘要

Using the local subgroup strategy of An and O'Brien (1997, 1999), we classify the radical subgroups and chains of the Fischer simple group Fi(22) and verify the Alperin weight conjecture and the Uno reductive conjecture for this group; the latter is a refinement of the Dade reductive and Isaacs-Navarro conjectures.