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Let G be cyclic group of order n then a k is generator of G if gcd(k, n)=1 (Roman Education Roman vocabulary) View |
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a^(m) is a generator of group G of order n iff GCD(m,n)=1 (Maths ICU) View |
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Let G be cyclic group and a is it's generator. The element a^k is also a generator iff ( k,d)=1 (Shahanaj S K) View |
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Abstract Algebra - 4.2 Cyclic Groups and Their Properties a^k=a^gcd(n,k) (Kimberly Brehm) View |
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[a^k] = [a^gcd(n,k)] and |a^k| = n/gcd(n,k) Proof (Abstract Algebra) (BriTheMathGuy) View |
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proof.{a^k}={a^gcd(n,k)} and |a^k|=n/gcd(n,k) (Uneeb Awais) View |
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Math 706 Section 4.1a (Todd Cochrane) View |
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Cyclic groups 4 (Jacob White) View |
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Let G be group, a ɛ G and O(a)=n. Then for any positive integer k, O(a^k) =n/(n,k). (MathsMentorVishal) View |
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Cyclic Groups (Andrew Misseldine) View |