A generalization of Sylow's theorems on finite groups to association schemes

DOI10.1007/s00209-002-0430-xzbMath1010.05082OpenAlexW2032687201MaRDI QIDQ1865611

Paul-Hermann Zieschang, Mitsugu Hirasaka, Mikhail E. Muzychuk

Publication date: 27 March 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-002-0430-x

zbMATH Keywords

finite groupsassociation schemesSylow's theorems

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (16)

The exchange condition for association schemes ⋮ On association schemes with multiplicities 1 or a prime p ⋮ On \(p\)-covalenced association schemes ⋮ Sufficient conditions for a scheme to originate from a group ⋮ Sylow theory for table algebras, fusion rule algebras, and hypergroups. ⋮ On association schemes all elements of which have valency 1 or 2 ⋮ Preface ⋮ Nilpotent closed subsets of association schemes ⋮ On Imprimitive NonCommutative Association Schemes of Order 6 ⋮ Augmented quasigroups and character algebras ⋮ Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes ⋮ Table algebras ⋮ Representations of finite association schemes ⋮ Trends and lines of development in scheme theory ⋮ The basis digraphs of \(p\)-schemes ⋮ A Schur-Zassenhaus theorem for association schemes

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