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Enumeration of conjugacy classes in affine groups
Algebra & Number Theory ( IF 1.3 ) Pub Date : 2024-04-30 , DOI: 10.2140/ant.2024.18.1189 Jason Fulman , Robert M. Guralnick
更新日期：2024-05-01
Algebra & Number Theory ( IF 1.3 ) Pub Date : 2024-04-30 , DOI: 10.2140/ant.2024.18.1189 Jason Fulman , Robert M. Guralnick
We study the conjugacy classes of the classical affine groups. We derive generating functions for the number of classes analogous to formulas of Wall and the authors for the classical groups. We use these to get good upper bounds for the number of classes. These naturally come up as difficult cases in the study of the noncoprime problem of Brauer.
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