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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.

##### MSC:
 20G40 Linear algebraic groups over finite fields 20D06 Simple groups: alternating groups and groups of Lie type
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