Congruences modulo 5 for the number of spin characters of the double covers of the symmetric and alternating groups

DOI10.4064/aa170920-12-4zbMath1448.11186OpenAlexW2912805769WikidataQ128519384 ScholiaQ128519384MaRDI QIDQ4614214

Ernest X. W. Xia

Publication date: 30 January 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa170920-12-4

zbMATH Keywords

partitionsymmetric groupcongruencealternating groupirreducible character

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Partitions; congruences and congruential restrictions (11P83)

Related Items (4)

Proofs of some conjectures of Chan and Wang on congruences for \((q;q)_\infty^{\frac{a}{b}}\) ⋮ Explicit congruences modulo 2048 for overpartitions ⋮ New congruences modulo 5 and 9 for partitions with odd parts distinct ⋮ Proofs of some conjectures on the reciprocals of the Ramanujan-Gordon identities

Cites Work

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• Congruences for the number of spin characters of the double covers of the symmetric and alternating groups
• Congruences modulo 9 and 27 for overpartitions
• Modular forms whose coefficients possess multiplicative properties
• On the \(p\)-blocks of symmetric and alternating groups and their covering groups
• Congruences modulo 64 and 1024 for overpartitions
• The relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\) and (\(p,k\))-parametrization of theta functions
• The power of \(q\). A personal journey
• Ramanujan’s “Most Beautiful Identity”
• ARITHMETIC PROPERTIES OF 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS

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