Nilpotent subgroups of class 2 in finite groups
- 24 March 2022
- journal article
- research article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 150 (8), 3241-3244
- https://doi.org/10.1090/proc/15933
Abstract
We show that every finite group G of size at least 3 has a nilpotent subgroup of class at most 2 and size at least vertical bar G vertical bar(1/32 log log vertical bar G vertical bar). This answers a question of Pyber, and is essentially best possible.Keywords
Funding Information
- Istituto Nazionale di Alta Matematica "Francesco Severi"
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