Subnormalizers and the degree of nilpotence in finite groups
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- Proc. Amer. Math. Soc. 149 (2021), 2739-2744 Request permission
Abstract:
We present a CFSG-free proof of the fact that the degree of nilpotence of a finite nonnilpotent group is less than $1/2$.References
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Additional Information
- Pietro Gheri
- Affiliation: Dipartimento di Matematica e Informatica “U. Dini”, Università degli Studi di Firenze, viale Morgagni 67/a, 50134 Firenze, Italy
- Email: pietro.gheri@unifi.it
- Received by editor(s): January 30, 2020
- Received by editor(s) in revised form: February 12, 2020
- Published electronically: April 22, 2021
- Additional Notes: This work was partially funded by the Istituto Nazionale di Alta Matematica “Francesco Severi” (Indam)
- Communicated by: Martin Liebeck
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 2739-2744
- MSC (2020): Primary 20D15, 20P05
- DOI: https://doi.org/10.1090/proc/15080
- MathSciNet review: 4257789