¹Siberian Federal University, Krasnoyarsk, Russian Federation

In this paper, we find necessary and sufficient conditions for the regularity of the Sylow p-subgroup P of the Chevalley group of types F₄ or E₆ defined over the ring of integers modulo p^m when p is a prime different from 37, 41, 43, 47. For the listed values of p, the group P is regular if the exponent m does not exceed 3; for m greater than 3, the answer remains unknown.

Sergey G. Kolesnikov, Dr. Sci. (Phys.-Math.), Prof., Siberian Federal University, Krasnoyarsk, 660041, Russian Federation, sklsnkv@mail.ru

Anna I. Polovinkina, Postgraduate, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation, apolovinkina1399@gmail.com

Kolesnikov S. G., Polovinkina A. I. On Regularity of Sylow p-Subgroups of the Chevalley Group of Types F₄, E₆ Over the Ring Z _p^m. The Bulletin of Irkutsk State University. Series Mathematics, 2025, vol. 51, pp. 101–115. (in Russian)

https://doi.org/10.26516/1997-7670.2025.51.101

regular p-group, Sylow subgroup, Chevalley group

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