We prove that the length of the shortest law in a group is bounded from below by the nonsolvable length.
An upper bound for the nonsolvable length of a finite group in terms of its shortest law / Fumagalli, Francesco; Leinen, Felix; Puglisi, Orazio. - In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6115. - STAMPA. - 125:(2022), pp. 1066-1082. [10.1112/plms.12476]
An upper bound for the nonsolvable length of a finite group in terms of its shortest law
Fumagalli, Francesco;Leinen, Felix;Puglisi, Orazio
2022
Abstract
We prove that the length of the shortest law in a group is bounded from below by the nonsolvable length.
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