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· 2019 · Apollo (University of Cambridge) · DOI 10.17863/cam.52134

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math.RA 1

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Matrix generators for the unit groups of $L_K(1,d)$

math.RA · 2026-07-11 · accept · novelty 7.0

Leaf-set matrix units generate L_d^ imes for every d≥2; finite generation holds precisely when K is finite, and finite presentability over F_q is equivalent to finite generation of K_2(n,L_d).

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  • Matrix generators for the unit groups of $L_K(1,d)$ math.RA · 2026-07-11 · accept · none · ref 7

    Leaf-set matrix units generate L_d^ imes for every d≥2; finite generation holds precisely when K is finite, and finite presentability over F_q is equivalent to finite generation of K_2(n,L_d).