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Rational defect groups and 2-rational characters, II
-
David Gluck
Published/Copyright:
May 1, 2012
Abstract.
Let 
be a defect group of a 2-block 
of a finite group. We conjecture that
if 
is rational and of nilpotence class at most 2, then the values of every
character in 
lie in a cyclotomic field 
, for some odd
integer 
. We prove the conjecture when 
has maximal defect.
Received: 2011-09-29
Revised: 2012-01-06
Published Online: 2012-05-01
Published in Print: 2012-May
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- 2-Blocks with minimal nonabelian defect groups II
- Rational defect groups and 2-rational characters, II
- On monotone 2-groups
- A note on a result of Skiba
- A focal subgroup theorem for outer commutator words
- Kernels of linear representations of Lie groups, locally compact groups, and pro-Lie Groups
- The fundamental group of a quotient of a product of curves
Articles in the same Issue
- Masthead
- 2-Blocks with minimal nonabelian defect groups II
- Rational defect groups and 2-rational characters, II
- On monotone 2-groups
- A note on a result of Skiba
- A focal subgroup theorem for outer commutator words
- Kernels of linear representations of Lie groups, locally compact groups, and pro-Lie Groups
- The fundamental group of a quotient of a product of curves
