Geodesic
Generating triples of involutions of groups of Lie type of rank two over finite fields
Algebra i logika, Tome 58 (2019) no. 1, pp. 84-107

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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 $p > 2$, $q-1\ne0\pmod4$, and $q\ne 3$, 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 $5$.
Keywords: group of Lie type, finite simple group, generating triples of involutions. 
@article{AL_2019_58_1_a5,
     author = {Ya. N. Nuzhin},
     title = {Generating triples of involutions of groups of {Lie} type of rank two over finite fields},
     journal = {Algebra i logika},
     pages = {84--107},
     publisher = {mathdoc},
     volume = {58},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2019_58_1_a5/}
}
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Ya. N. Nuzhin. Generating triples of involutions of groups of Lie type of rank two over finite fields. Algebra i logika, Tome 58 (2019) no. 1, pp. 84-107. http://geodesic.mathdoc.fr/item/AL_2019_58_1_a5/