Peer-Reviewed Journal Details
Mandatory Fields
Murray, J
2006
March
Osaka Journal of Mathematics
Strongly real 2-blocks and the Frobenius-Schur indicator
Published
9 ()
Optional Fields
CHARACTERS
43
201
213
Let G be a finite group, let k be an algebraically closed field of characteristic 2 and let Omega := {g is an element of G vertical bar g(2) = 1(G)}. It is shown that for a block B of kG, the permutation module k Omega has a B-composition factor if and only if the Frobenius-Schur indicator of the regular character of B is non-zero or equivalently if and only if B is real with a strongly real defect class.
TOYONAKA
0030-6126
Grant Details