Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3497
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.
Keywords
Control of fusion, normal π -complement, supersolvable Hall subgroups
First Page
118
Last Page
122
Recommended Citation
KIZMAZ, MUHAMMET YASİR
(2024)
"Fusion in supersolvable Hall subgroups,"
Turkish Journal of Mathematics: Vol. 48:
No.
2, Article 3.
https://doi.org/10.55730/1300-0098.3497
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss2/3
