Verbal embeddings and a geometric approach to some group presentations

DOI10.1016/0021-8693(89)90132-4zbMath0679.20029OpenAlexW2048045358MaRDI QIDQ1822622

Thomas A. Fournelle, Kenneth W. Weston

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90132-4

zbMATH Keywords

upper triangular matricesCayleySteinberg groupsMathieu groups\(A_ n\)generated by symbolslinkage graphlinkage groupverbal embedding

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other matrix groups over rings (20H25) Simple groups: alternating groups and groups of Lie type (20D06) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Cites Work

• Unnamed Item
• On nilpotent class 2 groups and the Steinberg groups ST(3,R)
• On algebraic embeddings of rings into groups
• On finite simple groups of characteristic 2 type

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