I wander the order of $1+gamma_p$, $gamma_p$ is a element of order p.











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Let $F_{2^t}$ be a finite field ,since the multiplicative group $F^*$ is cyclic. There exist a element of order p $gamma_p$ where $p|2^t-1$. I wander the order of $1+gamma_p$. Is there any theorem about this question.










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    Let $F_{2^t}$ be a finite field ,since the multiplicative group $F^*$ is cyclic. There exist a element of order p $gamma_p$ where $p|2^t-1$. I wander the order of $1+gamma_p$. Is there any theorem about this question.










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      Let $F_{2^t}$ be a finite field ,since the multiplicative group $F^*$ is cyclic. There exist a element of order p $gamma_p$ where $p|2^t-1$. I wander the order of $1+gamma_p$. Is there any theorem about this question.










      share|cite|improve this question







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      Colin Lee is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      Let $F_{2^t}$ be a finite field ,since the multiplicative group $F^*$ is cyclic. There exist a element of order p $gamma_p$ where $p|2^t-1$. I wander the order of $1+gamma_p$. Is there any theorem about this question.







      finite-fields






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