The non-abelian simple groups g, |g| < 105— presentations

DOI10.1080/00927877908822409zbMath0428.20010OpenAlexW2038067223WikidataQ29544895 ScholiaQ29544895MaRDI QIDQ3864699

John J. Cannon, John McKay, Kiang-Chuen Young

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822409

zbMATH Keywords

presentationsdefining relationsfinite simple groups of order less than one million

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05)

Related Items (12)

EFFICIENT SIMPLE GROUPS ⋮ Efficient presentations for three simple groups ⋮ Factorizations of characters and a question of Feit ⋮ Nice Efficient Presentions for all Small Simple Groups and their Covers ⋮ Uniform \((2,k)\)-generation of the 4-dimensional classical groups. ⋮ The efficiency of PSL(2, p)³ and other direct products of groups ⋮ Finite groups ⋮ Presentations for the simple groups g, l0⁵≪ |g| < 10⁶ ⋮ Use of computers in solving well-known algebra problems ⋮ Efficient Simple Groups ⋮ Efficient presentations for certain simple groups ⋮ The efficiency of simple groups of order < 10⁵

Cites Work

• Construction of defining relators for finite groups
• Simple groups of order less than one million
• Über einfache endliche gruppen mit sylow-2-gruppen der ordnung höchstens 2¹⁰

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