An Example of Length Computation for a Group Algebra of a Noncyclic Abelian Group in the Modular Case

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