The FSZ properties of sporadic simple groups

DOI10.1142/S0219498819500166zbMath1477.20032arXiv1610.03625MaRDI QIDQ5376495

Marc Keilberg

Publication date: 10 May 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03625

zbMATH Keywords

sporadic simple groupssimple groupshigher Frobenius-Schur indicatorsFSZ groups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Hopf algebras and their applications (16T05) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (1)

Some behaviors of \textit{FSZ} groups under central products, central quotients, and regular wreath products

Uses Software

• GAP
• AtlasRep
• ATLAS Group Representations

Cites Work

• \(FSZ\)-groups and Frobenius-Schur indicators of quantum doubles.
• Some quasitensor autoequivalences of Drinfeld doubles of finite groups
• The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
• On some properties of quantum doubles of finite groups.
• Gauge invariants from the powers of antipodes
• Explicit representations of maximal subgroups of the Monster.
• Fusion systems
• HIGHER INDICATORS FOR SOME GROUPS AND THEIR DOUBLES
• Examples of non-$FSZ$ $p$-groups for primes greater than three
• Higher Indicators for the Doubles of Some Totally Orthogonal Groups
• Central invariants and higher indicators for semisimple quasi-Hopf algebras
• On higher Frobenius-Schur indicators
• Quasi Hopf algebras, group cohomology and orbifold models
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