Distance-transitive representations of the sporadic groups

DOI10.1080/00927879508825406zbMath0832.20025OpenAlexW2076212921MaRDI QIDQ4843228

Leonard H. Soicher, Klaus Lux, Jan Saxl, Alexander A. Ivanov, Stephen A. Linton

Publication date: 13 August 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825406

zbMATH Keywords

sporadic simple groupsautomorphism groupspermutation characterirreducible constituentsprimitive actionsdistance transitive graphsprimitive multiplicity-free representations

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of abstract finite groups (20D45) Representations of sporadic groups (20C34) Primitive groups (20B15)

Related Items (15)

A 11,707,448,673,375 vertex graph related to the Baby Monster. I, II. ⋮ The Multiplicity Free Permutation Representations of the Ree Groups²G₂(q), the Suzuki Groups²B₂(q), and Their Automorphism Groups ⋮ Enumerating big orbits and an application: \(B\) acting on the cosets of \(Fi_{23}\). ⋮ Simple connectedness of the 3-local geometry of the Monster ⋮ Finite primitive distance-transitive graphs ⋮ The multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups ⋮ The Primitive Distance-Transitive Representations of the Fischer Groups ⋮ On the multiplicity-free actions of the sporadic simple groups. ⋮ A NEW COMPUTER CONSTRUCTION OF THE IRREDUCIBLE 112-DIMENSIONAL 2-MODULAR REPRESENTATION OF JANKO'S GROUPJ₄ ⋮ On the Action of the Sporadic Simple Baby Monster Group on its Conjugacy Class 2B ⋮ More Fibonacci-Bernoulli relations with and without balancing polynomials ⋮ The universal embedding for the involution geometry of \(Co_1\) ⋮ \(Y\)-groups via transitive extension ⋮ Unnamed Item ⋮ More on geometries of the Fischer group \(Fi_{22}\).

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