Peer-Reviewed Journal Details
Mandatory Fields
Murray J.; Navarro G.
2016
March
Journal of Algebra
Characters, bilinear forms and solvable groups
Published
2 ()
Optional Fields
Bilinear form Brauer character Finite solvable group Frobenius-Schur indicator
449
346
354
© 2015 Elsevier Inc. We prove a number of results about the ordinary and Brauer characters of finite solvable groups in characteristic 2, by defining and using the concept of the extended nucleus of a real irreducible character. In particular we show that the Isaacs canonical lift of a real irreducible Brauer character has Frobenius-Schur indicator +1. We also show that the principal indecomposable module corresponding to a real irreducible Brauer character affords a quadratic geometry if and only if each extended nucleus is a split extension of a nucleus.
0021-8693
10.1016/j.jalgebra.2015.10.024
Grant Details