Some special coprime actions and their consequences

2024-12-01
Ercan, Gülin
Güloğlu, İsmaı̇l Ş.
Kizmaz, M. Yası̇r
Revin, Danila O.
Let a group A act on the group G coprimely. Suppose that the order of the fixed point subgroup CG(A) is not divisible by an arbitrary but fixed prime p. In the present paper we determine bounds for the p-length of the group G in terms of the order of A, and investigate how some A-invariant p-subgroups are embedded in G under various additional assumptions.
Journal of Pure and Applied Algebra
Citation Formats
G. Ercan, İ. Ş. Güloğlu, M. Y. Kizmaz, and D. O. Revin, “Some special coprime actions and their consequences,” Journal of Pure and Applied Algebra, vol. 228, no. 12, pp. 0–0, 2024, Accessed: 00, 2024. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85198141932&origin=inward.