scholarly journals Computing singularities of the spectra of representation rings of finite groups

2021 ◽  
Vol 99 (1-2) ◽  
pp. 161-183
Author(s):  
Andre Gimenez Bueno ◽  
Renato Vidal Martins ◽  
Edney Oliveira ◽  
Csaba Schneider
Keyword(s):  
Finite Groups ◽  
Representation Rings

scholarly journals On the Chern classes of the regular representations of some finite groups

1982 ◽  
Vol 25 (3) ◽  
pp. 259-268 ◽  
Author(s):  
Benjamin M. Mann ◽  
R. James Milgram
Keyword(s):  
Finite Groups ◽  
Regular Representation ◽  
Symmetric Groups ◽  
Chern Classes ◽  
Proved Theorem ◽  
Regular Representations ◽  
Modular Invariants ◽  
Representation Rings ◽  
Cobordism Ring ◽  
Primary Torsion

In studying the cohomology of the symmetric groups and its applications in topology one is led to certain questions concerning the representation rings of special subgroups of . In this note we calculate the Chern classes of the regular representation of (Z/p)n where p is a fixed odd prime in terms of certain modular invariants first described by L. E. Dickson in 1911. In a later paper [9] we apply these results to study the odd primary torsion in the PL cobordism ring. Some indications of this application are given in Sections 10–12 where we apply the result above to obtain information about the cohomology of . After circulation of this note in preprint form we learned that H. Mui [10], has also proved Theorem 6.2.

Enumeration of Finite Groups

2007 ◽  
Author(s):  
Simon R. Blackburn ◽  
Peter M. Neumann ◽  
Geetha Venkataraman
Keyword(s):  
Finite Groups
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