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arXiv · 2105.10807

Some special coprime actions and their consequence

Gülin Ercan·İsmail Ş. Güloğlu·M. Yasir Kızmaz·Danila O. Revin
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Abstract

Let a group $A$ act on the group $G$ coprimely. Suppose that the order of the fixed point subgroup $C_G(A)$ 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.

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Gülin Ercan, İsmail Ş. Güloğlu, M. Yasir Kızmaz, Danila O. Revin. 2021-05-22. Some special coprime actions and their consequence. https://arxiv.org/abs/2105.10807

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