Inductive McKay Condition in defining Characteristic

By Britta Spath. 2010

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We reformulate the inductive McKay condition, from Isaacs–Malle–Navarro [IMN07], and apply the new criterion to simple groups of Lie type, when the prime is the defining characteristic p. Thereby we make use of a recent result of Maslowski [Mas10]. This proves that these simple groups satisfy the inductive McKay condition for p. In the non simply–laced types and non–classical types this reproves earlier results by Brunat [Bru09, Bru10] and Brunat–Himstedt [BH09].

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7300a921b4857244f2bde34ba14ecb0fabf484f5