Sporadic simple groups which are completions of the Goldschmidt \(G_3\)-amalgam

DOI10.1006/jabr.2000.8471zbMath0974.20018OpenAlexW2002382987MaRDI QIDQ1840611

Christopher Parker, Peter J. Rowley

Publication date: 9 December 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8471

zbMATH Keywords

Monstersporadic simple groupsGoldschmidt amalgamscompletions of amalgams

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08)

Related Items (4)

Completions of the Goldschmidt G₃-amalgam and alternating groups ⋮ Semisymmetric cubic graphs of twice odd order ⋮ Completions of Goldschmidt amalgams of type \(G_4\) in dimension 3 ⋮ Symmetric groups and completions of the Goldschmidt amalgams of type G1

Uses Software

• GAP
• Magma

Cites Work

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• \(SL_ 3(2^ n)\) as a completion of an amalgam of type \(L_ 3(2)\)
• The sextet construction for cubic graphs
• Über s-reguläre Graphen
• Generation of classical groups
• An improved method for generating the centralizer of an involution
• Standard generators for sporadic simple groups
• Graphs and finite permutation groups
• Classical Groups in Dimension 3 as Completions of the Goldschmidt G ₃ -Amalgam
• FINITE COMPLETIONS OF THE GOLDSCHMIDT -AMALGAM AND THE MATHIEU GROUPS
• Automorphisms of trivalent graphs
• Completions of Goldschmidt amalgams of type \(G_4\) in dimension 3

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