N ov 2 00 7 Unitary units in modular group algebras

@inproceedings{Bovdi1994NO2,
  title={N ov 2 00 7 Unitary units in modular group algebras},
  author={Victor Bovdi and Laszlo G. Kovacs},
  year={1994}
}
Let p be a prime, K a field of characteristic p, G a locally finite p-group, KG the group algebra, and V the group of the units of KG with augmentation 1. The anti-automorphism g → g −1 of G extends linearly to KG; this extension leaves V setwise invariant, and its restriction to V followed by v → v −1 gives an automorphism of V. The elements of V fixed by this automorphism are called unitary; they form a subgroup. Our first theorem describes the K and G for which this subgroup is normal in V… CONTINUE READING