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20.49 (2022)

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Is it true that any finite group contains a 2-generated subgroup with the same exponent?

Contributor: A. Lucchini

Progress

An affirmative answer is known for soluble groups. It is also known that any finite group contains a 3-generated subgroup with the same exponent (E. Detomi, A. Lucchini, J. London Math. Soc. (2), 87, no. 3 (2013), 689–706).

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