The radical of a modular alternative loop algebra

Goodaire, Edgar G.

doi:10.1090/S0002-9939-1995-1283551-8

The radical of a modular alternative loop algebra
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by Edgar G. Goodaire PDF

Proc. Amer. Math. Soc. 123 (1995), 3289-3299 Request permission

Abstract:

If G is a group of order ${2^n}$ and F is a field of characteristic 2, it is well known that the augmentation ideal of the group algebra FG is nilpotent. In this paper, we extend this result to alternative loop algebras.

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