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Sibirsk. Mat. Zh., 2025 Volume 66, Number 4, Pages 683–688 (Mi smj7971)

On nilpotent residuals of Sylow normalizers of a finite group

V. S. Monakhov

Francisk Skorina Gomel State University, Gomel, Belarus

Abstract: A positive answer is obtained to the question posed in the paper by T.I. Vasil'eva and A.G. Koranchuk, “Finite groups with subnormal residuals of Sylow normalizers,” Sib. Math. J., vol. 63, no. 4, 670–676 (2022).

Keywords: finite group, Sylow subgroup, normalizer, residual, subnormal subgroup.

UDC: 512.542

MSC: 35R30

Received: 09.01.2025
Revised: 17.03.2025
Accepted: 25.04.2025

DOI: 10.33048/smzh.2025.66.410


 English version:
Siberian Mathematical Journal, 2025, 66:4, 986–990


© Steklov Math. Inst. of RAS, 2025