Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3301
Abstract
The structure of the nonsolvable (P)-groups is completely described in this article. By definition, a finite group $G$ is called a (P)-group if any two cyclic $p$-subgroups of the same order are conjugate in $G$, whenever $p$ is a prime number dividing the order of $G$.
Keywords
Conjugacy classes, (generalized) Fitting subgroups, Frattini subgroups, $p$-subgroups, sporadic simple groups, groups of Lie type, alternating and symmetric groups, Schur multiplier, Hering's theorem, automorphism groups, (semi-)direct product of groups
First Page
2766
Last Page
2805
Recommended Citation
WAALL, ROBERT VAN DER and SEZER, SEZGİN
(2022)
"On finite nonsolvable groups whose cyclic $p$-subgroups of equal order are conjugate,"
Turkish Journal of Mathematics: Vol. 46:
No.
7, Article 15.
https://doi.org/10.55730/1300-0098.3301
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss7/15
