Length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group in the modular case
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVI, Tome 524 (2023), pp. 166-176
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In this paper, the length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group over a field of characteristic $p$ is calculated. A general lower bound for the length of a commutative group algebra is proved, and in the case of the direct product of a cyclic group and a cyclic $p$-group this bound is sharp.
@article{ZNSL_2023_524_a11,
author = {M. A. Khrystik},
title = {Length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group in the modular case},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {166--176},
publisher = {mathdoc},
volume = {524},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a11/}
}
TY - JOUR AU - M. A. Khrystik TI - Length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group in the modular case JO - Zapiski Nauchnykh Seminarov POMI PY - 2023 SP - 166 EP - 176 VL - 524 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a11/ LA - ru ID - ZNSL_2023_524_a11 ER -
%0 Journal Article %A M. A. Khrystik %T Length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group in the modular case %J Zapiski Nauchnykh Seminarov POMI %D 2023 %P 166-176 %V 524 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a11/ %G ru %F ZNSL_2023_524_a11
M. A. Khrystik. Length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group in the modular case. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVI, Tome 524 (2023), pp. 166-176. http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a11/