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On the lengths of group algebras of finite abelian groups in the modular case

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In this paper, we address the question of finding the length of group algebras of finite abelian groups in the case when the characteristic of the ground field divides the… Click to show full abstract

In this paper, we address the question of finding the length of group algebras of finite abelian groups in the case when the characteristic of the ground field divides the order of the group. We evaluate the exact length for an arbitrary abelian [Formula: see text]-group. For other groups we provide upper and lower bounds for the length of their group algebras.

Keywords: finite abelian; abelian groups; case; algebras finite; group algebras; group

Journal Title: Journal of Algebra and Its Applications
Year Published: 2021

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