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A Symmetric Presentation for J 1 |
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| Abstract: | Abstract We give a computer-free proof that the sporadic simple group J 1 is a isomorphic to the progenitor 2*5 : A 5 factorized over a single relation. Precisely, we prove that J 1 is defined by the presentation ?x, y, t ∣ x 5 = y 3 = (xy)2 = 1 = t 2 = y, t] = y, t x 3 ] = (xt)7?. |
| Keywords: | Sporadic groups |