Non-associative algebras associated with doubly transitive permutation groups: \(S_{n+1}\)

DOI10.1016/0021-8693(84)90137-6zbMath0556.20004OpenAlexW2027254097MaRDI QIDQ761533

Harry P. Allen

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90137-6

zbMATH Keywords

non-associative algebrasdoubly transitive permutation group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Power-associative rings (17A05) Multiply transitive finite groups (20B20)

Related Items

Symmetric groups as automorphisms of some commutative algebras, The group of automorphisms of non-associative commutative algebras associated with psl(m,q), m ≥ 3, On a commutative non-associative algebra associated with a doubly transitive group, On automorphism groups of non-associative algebras associated with doubly transitive groups

Cites Work

• On a commutative non-associative algebra associated with a doubly transitive group
• The faithful linear representations of least degree of \(S_n\) and \(A_n\) over a field of odd characteristic
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