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• W2247371140 abstract "Any Schur ring is uniquely determined by a partition of the elements of the group. An open question in the study of Schur rings is determining which partitions of the group induce a Schur ring. Although a structure theorem is available for Schur rings over cyclic groups, it is still a difficult problem to count all the partitions. For example, Kovacs, Liskovets, and Poschel determine formulas to count the number of wreath-indecomposable Schur rings. In this paper we solve the problem of counting the number of all Schur rings over cyclic groups of prime power order and draw some parallels with Higman's PORC conjecture." @default.
• W2247371140 created "2016-06-24" @default.
• W2247371140 creator A5042205161 @default.
• W2247371140 date "2019-01-22" @default.
• W2247371140 modified "2023-09-23" @default.
• W2247371140 title "Counting Schur rings over cyclic groups" @default.
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• W2247371140 doi "https://doi.org/10.1007/s10801-019-00870-1" @default.
• W2247371140 hasPublicationYear "2019" @default.
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