Abstract
We demonstrate that the technique for calculating the length of two-block matrix algebras, developed by the author earlier, can be used to calculate the lengths of group algebras of Abelian groups. We find the length of the group algebra of a noncyclic Abelian group of order 2p2, where p > 2 is a prime number, over a field of characteristic p, namely, we prove that the length of this algebra is equal to 3p−2.
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