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More classical groups which are not (2, 3)-generated

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We find new examples of classical matrix groups that cannot be generated by an involution and an element of order 3. In particular, we show that PSU5(4) and Sp6(q) for odd q are not (2,3)-generated.

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  1. St. Petersburg Department of V. A. Steklov Institute of Mathematics, Fontanka 27, 191023, St.Petersburg, Russia

    M. A. Vsemirnov

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  1. M. A. Vsemirnov
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Correspondence to M. A. Vsemirnov.

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Supported in part by the Russian Foundation for Basic Research (grant no. 09-01-00784-a), by the programme “Scientific Schools” (grant no. NSh-5282.2010.1), by the Dynasty Foundation, and by the Cariplo Foundation.

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Vsemirnov, M.A. More classical groups which are not (2, 3)-generated. Arch. Math. 96, 123–129 (2011). https://doi.org/10.1007/s00013-010-0217-y

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