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

Alexander Guterman; Mikhail Khrystik; Olga Markova

doi:10.1142/s0219498822501171

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

Alexander Guterman, Mikhail Khrystik, Olga Markova

Research output: Contribution to journal › Article › peer-review

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 p-group. For other groups we provide upper and lower bounds for the length of their group algebras.

Original language	English
Article number	2250117
Journal	Journal of Algebra and its Applications
Volume	21
Issue number	6
DOIs	https://doi.org/10.1142/s0219498822501171
State	Published - 1 Jun 2022
Externally published	Yes

Keywords

Finite-dimensional algebras
abelian groups
group algebras
lengths of sets and algebras

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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10.1142/s0219498822501171

Cite this

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AU - Markova, Olga

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N2 - 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 p-group. For other groups we provide upper and lower bounds for the length of their group algebras.

AB - 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 p-group. For other groups we provide upper and lower bounds for the length of their group algebras.

KW - Finite-dimensional algebras

KW - abelian groups

KW - group algebras

KW - lengths of sets and algebras

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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