Jan 6, 2019 · The so-called primitive function f f, which was the starting point and so came first, the root meaning of primitive (Lat. primus, first), is what we might call an antiderivative or …

I'm trying to understand what primitive roots are for a given mod n mod n. Wolfram's definition is as follows: A primitive root of a prime p p is an integer g g such that g (mod p) g (mod p) has …

Jun 26, 2024 · 1 Based on the comments, a primitive central idempotent is a central idempotent that cannot be written as a sum of two central orthogonal idempotents. If we define that a …

Jul 14, 2014 · It can be proven that a primitive root modulo $n$ exists if and only if $$n \in \ { 1,2 , 4, p^k, 2 p^k \}$$ with $p$ odd prime. For each $n$ of this form there are exactly $\phi (n)$ …

Jan 3, 2015 · How would you find a primitive root of a prime number such as 761? How do you pick the primitive roots to test? Randomly? Thanks

Jun 9, 2022 · A maximal closed subgroup of SUn S U n is (almost) always primitive, see Properties of primitive matrix groups for the exception. And in particular a maximal closed …

Jul 23, 2018 · 6 So I encountered this proof on a Number Theory book, I will link the pdf at the end of the post (proof at page 96), it says: " Every prime has a primitive root, proof: Let p be a …

Jan 21, 2012 · Show that the primitive n-th roots of unity have the form e2kiπ/n e 2 k i π / n for k, n k, n coprime for 0 ≤ k ≤ n 0 ≤ k ≤ n. Since all primitive n-th roots of unity are n-th roots of …

Jul 31, 2023 · PrimitiveIdentification requires the group to be a primitive group of permutations, not just a group that can be primitive in some action. You will need to convert to a permutation …

Dec 20, 2020 · The field K =Q(2–√3, j) K = Q (2 3, j), where j j is a primitive 3rd root of 1 1, is obviously the field of decomposition over Q Q of the polynomial X3 − 2 X 3 2, so the extension …