A criterion for occurrence in a subgroup generated by two-dimensional elementary matrices

DOI10.1007/BF01982112zbMath0547.20040MaRDI QIDQ798774

K. Kh. Zakir'yanov

Publication date: 1983

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187236

zbMATH Keywords

algorithms for \(2\times 2\) matriceselementary matrices over polynomial ringnon-cyclic free subgroupproduct of elementary matrices

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) Other matrix groups over rings (20H25) Software, source code, etc. for problems pertaining to group theory (20-04)

Cites Work

• The linear homogeneous group. III
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