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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - A. Misseldine
TI  - Enumeration Techniques on Cyclic Schur Rings
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2021
SP  - 276
EP  - 289
VL  - 27
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2021_27_4_a19/
LA  - en
ID  - TIMM_2021_27_4_a19
ER  - 
%0 Journal Article
%A A. Misseldine
%T Enumeration Techniques on Cyclic Schur Rings
%J Trudy Instituta matematiki i mehaniki
%D 2021
%P 276-289
%V 27
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2021_27_4_a19/
%G en
%F 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/