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Results tagged with factorization
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user 34066
For questions about factorization, the decomposition of mathematical objects (e.g. natural numbers, polynomials) into products of smaller objects (e.g. primes, lower degree polynomials).
1
vote
1
answer
194
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Order of roots for a polynomial $P\in\mathbb{F}_p[T]$
Let $P\in\mathbb{F}_p[T]$ (not supposed irreducible). All roots $\xi$ of $P$ have a certain order $k$ such that $\xi^k=1$.
Question: is it possible to know the order of the roots of the given polynomi …
- 275
3
votes
0
answers
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Order of elements $\gamma$ and $1-\gamma$ in $\mathbb{F}_q$
I'd like to find if possible the orders possible for $1-\gamma$ given a $\gamma\in\mathbb{F}_q$ of given order $\mathcal{o}$ (where $q=p^f$).
Which is clear is that these order have the same degree (d …
- 275