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 |
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Article number | 2250117 |
Journal | Journal of Algebra and its Applications |
Volume | 21 |
Issue number | 6 |
DOIs | |
State | Published - 1 Jun 2022 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2022 World Scientific Publishing Company.
Keywords
- Finite-dimensional algebras
- abelian groups
- group algebras
- lengths of sets and algebras