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- W2001196252 abstract "For any fixed prime p and any non-negative integer n there is a 2( p n − 1)-periodic generalized cohomology theory K ( n )*, the n th Morava K-theory. Let G be a finite group and BG its classifying space. For some time now it has been conjectured that K ( n )*( BG ) is concentrated in even dimensions. Standard transfer arguments show that a finite group enjoys this property whenever its p -Sylow subgroup does, so one is reduced to verifying the conjecture for p -groups. It is easy to see that it holds for abelian groups, and it has been proved for some non-abelian groups as well, namely groups of order p 3 ([ 7 ]) and certain wreath products ([ 3 ], [ 2 ]). In this note we consider finite (non-abelian) 2-groups with maximal normal cyclic subgroup, i.e. dihedral, semidihedral, quasidihedral and generalized quaternion groups of order a power of two." @default.
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- W2001196252 date "1997-01-01" @default.
- W2001196252 modified "2023-10-18" @default.
- W2001196252 title "On the Morava K-theory of some finite 2-groups" @default.
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- W2001196252 doi "https://doi.org/10.1017/s0305004196001156" @default.
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