Fusion in supersolvable Hall subgroups

Authors

MUHAMMET YASİR KIZMAZFollow

Abstract

Let H be a supersolvable Hall π -subgroup of a finite group G. We prove that G has a normal π -complement if and only if H controls G-fusion in H.

DOI

10.55730/1300-0098.3497

Keywords

Control of fusion, normal π -complement, supersolvable Hall subgroups

First Page

118

Last Page

122

Recommended Citation

KIZMAZ, M (2024). Fusion in supersolvable Hall subgroups. Turkish Journal of Mathematics 48 (2): 118-122. https://doi.org/10.55730/1300-0098.3497