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Some special coprime actions and their consequences
Date
2024-12-01
Author
Ercan, Gülin
Güloğlu, İsmaı̇l Ş.
Kizmaz, M. Yası̇r
Revin, Danila O.
Metadata
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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.
Subject Keywords
Coprime action
,
Fitting series
,
Frobenius action
,
p-length
,
Simple group
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85198141932&origin=inward
https://hdl.handle.net/11511/110192
Journal
Journal of Pure and Applied Algebra
DOI
https://doi.org/10.1016/j.jpaa.2024.107764
Collections
Department of Mathematics, Article
Citation Formats
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BibTeX
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.
