zbMATH — the first resource for mathematics

Why is \(\mathrm{PSL}(2,7)\cong\mathrm{GL}(3,2)\)? (English) Zbl 1229.20046
Summary: We construct a straightforward, explicit isomorphism from the group \(\mathrm{PSL}(2,7)\) onto the group \(\mathrm{GL}(3,2)\). Our proof requires only elementary facts about groups, fields, and matrices. In particular, our proof does not utilize projective geometry, block designs, or simplicity arguments.

20G40 Linear algebraic groups over finite fields
20D06 Simple groups: alternating groups and groups of Lie type
PDF BibTeX Cite
Full Text: DOI