On pro-2 identities of 2×2 linear groups

DOI10.1090/tran/8327zbMath1478.20022arXiv1910.05805OpenAlexW3122419016MaRDI QIDQ3388495

David El-Chai Ben-Ezra, Efim I. Zelmanov

Publication date: 5 May 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05805

zbMATH Keywords

trace identitiesPI-theorylinear pro-\(p\) grouppro-\(p\) identities

Mathematics Subject Classification ID

Other matrix groups over rings (20H25) Trace rings and invariant theory (associative rings and algebras) (16R30) Free nonabelian groups (20E05) Limits, profinite groups (20E18)

Cites Work

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• Non-Abelian free pro-\(p\)-groups cannot be represented by 2-by-2 matrices
• Combinatorial group theory for pro-p groups
• The invariant theory of \(n\times n\) matrices
• A non-abelian free pro-\(p\) group is not linear over a local field
• Polynomial identity rings.
• The soluble length of soluble linear groups
• A short note on L_{CBA}---fuzzy logic with a non-associative conjunction

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