On the Minimal Idempotents of Twisted Group Algebras of Cyclic 2-Groups

Details On the Minimal Idempotents of Twisted Group Algebras of Cyclic 2-Groups On the Minimal Idempotents of Twisted Group Algebras of Cyclic 2-Groups

1998-06-23

arxiv.org/abs/math/9806125v1

Mathematics

Rings and Algebras

11 pages, latex

Scientific paper

For a field $K$ of the second kind with respect to 2 and of characteristic
different from 2, we consider the decomposition of the binomials $x^{2^n} - a$
into a product of irreducible factors over $K$ and find the explicit form of
the minimal idempotents of the twisted group algebra $K^t< g>$ of a cyclic
2-group $$ over $K$.

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