scholarly journals Jordan blocks of nilpotent elements in some irreducible representations of classical groups in good characteristic

2021 ◽  
Vol 225 (8) ◽  
pp. 106694
Author(s):  
Mikko Korhonen
Keyword(s):  
Irreducible Representations ◽  
Classical Groups ◽  
Good Characteristic ◽  
Nilpotent Elements

Representations and automorphisms of some wreath products

1979 ◽  
Vol 85 (1) ◽  
pp. 49-53 ◽  
Author(s):  
Roderick Gow
Keyword(s):  
Automorphism Groups ◽  
Wreath Products ◽  
Irreducible Representations ◽  
Classical Groups

In this paper we study the faithful irreducible representations of certain families of wreath products and show how a particular class of such representations is related to the automorphisms of these groups. Our methods enable us to calculate the orders of the automorphism groups, although they do not deal with their structure. The wreath products that we consider here include most of the Sylow p-subgroups of the classical groups, which are described in (1) and (4).

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