M. A. Khrystik, “Length of the group algebra of the direct product of a cyclic group and an elementary abelian <nobr>$p$</nobr>-group in the modular case”, Sib. Èlektron. Mat. Izv., 2024, Volume 21, Issue 2,Pages <nobr>1132

Mathematical logic, algebra and number theory

Length of the group algebra of the direct product of a cyclic group and an elementary abelian $p$-group in the modular case

M. A. Khrystik^ab

^a Moscow Center of Fundamental and Applied Mathematics, Moscow, 119991, Russia
^b HSE University, Faculty of Computer Science, Pokrovsky Boulevard 11, Moscow, 101000, Russia

Abstract: In this paper, the length of the group algebra of the direct product of a cyclic group and an elementary abelian $p$-group over a field of characteristic $p$ is calculated.

Keywords: finite-dimensional algebras, length of an algebra, group algebras, abelian groups, $p$-groups.

UDC: 512.552.7

MSC: 16S34

Received April 13, 2024, published November 25, 2024

DOI: 10.33048/semi.2024.21.074