The efficiency of simple groups of order < 105

DOI10.1080/00927878208822711zbMath0478.20024OpenAlexW1990479107MaRDI QIDQ3934600

Colin M. Campbell, Edmund F. Robertson

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822711

zbMATH Keywords

Schur multiplierefficient presentationsdeficiencies of finite presentationsefficiency of finite simple groups

Mathematics Subject Classification ID

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

Related Items (10)

EFFICIENT SIMPLE GROUPS ⋮ Efficient presentations for three simple groups ⋮ Nice Efficient Presentions for all Small Simple Groups and their Covers ⋮ Some new efficient soluble groups ⋮ Presentations of finite simple groups: a computational approach. ⋮ Remarks on proficient groups. ⋮ Finite groups ⋮ Presentations for the simple groups g, l0⁵≪ |g| < 10⁶ ⋮ Efficient Simple Groups ⋮ Efficient presentations for certain simple groups

Cites Work

• Minimal resolutions for finite groups
• The classification of finite simple groups I. Simple groups and local analysis
• The non-abelian simple groups g, |g| < 10⁵— presentations
• A Deficiency Zero Presentation for SL (2, p )
• A Presentation of the Groups PSL(2, p) with Three Defining Relations
• A Set of Generators and Relations for the Group PSL(2, Q ), q Odd
• FINITE PRESENTATIONS OF GROUPS AND 3-MANIFOLDS
• Presentations of the Groups SL(2,m) And PSL(2,m)

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