Enumeration Techniques on Cyclic Schur Rings
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 4, pp. 276-289
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This paper is based on the results of the 2020 Ural Workshop on Group Theory and Combinatorics. Any Schur ring is uniquely determined by a partition of the elements of the group. In this paper we present a general technique for enumerating Schur rings over cyclic groups using traditional Schur rings. We also survey recent efforts to enumerate Schur rings over cyclic groups of specific orders.
Keywords:
Schur ring; cyclic group; association scheme; lattice of subgroups.
@article{TIMM_2021_27_4_a19,
author = {A. Misseldine},
title = {Enumeration {Techniques} on {Cyclic} {Schur} {Rings}},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {276--289},
publisher = {mathdoc},
volume = {27},
number = {4},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TIMM_2021_27_4_a19/}
}
A. Misseldine. Enumeration Techniques on Cyclic Schur Rings. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 4, pp. 276-289. http://geodesic.mathdoc.fr/item/TIMM_2021_27_4_a19/