# Generating Triples of Involutions of Groups of Lie Type of Rank 2 Over Finite Fields

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For finite simple groups U_{5}(2^{n}), n > 1, U_{4}(q), and S_{4}(q), where *q* is a power of a prime *p* > 2, *q* − 1 ≠= 0(mod4), and *q* ≠= 3, we explicitly specify generating triples of involutions two of which commute. As a corollary, it is inferred that for the given simple groups, the minimum number of generating conjugate involutions, whose product equals 1, is equal to 5.

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group of Lie type finite simple group generating triples of involutions## Preview

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