List questions from cyclic-groups

Published on 29 Apr 2019 - 15:46

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Find the normalizer of a cyclic subgroup of $S_7$

Published on 27 Mar 2026 - 15:19

172

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Prove that $E=\Bbb Q(\sqrt[d]{a})$

Published on 01 May 2019 - 2:38

402

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Is there some sort of classification of all minimal non-cyclic groups?

Published on 25 Mar 2026 - 11:13

152

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Clarification on the order of an element in the Pohlig-Hellman algorithm for groups whose order is a prime power

Published on 25 Mar 2026 - 9:26

72

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Groups, subgroups and quotient groups

Published on 25 Mar 2026 - 22:01

490

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Take G to be the cyclic group with 12 elements. Find an element g in G such that the equation x^2 = g has no solution

Published on 04 May 2019 - 16:05

66

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Prove that $G$ has at most one element of order $2$

Published on 26 Mar 2026 - 14:42

47

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Finite groups of cyclicality index 3

Published on 07 May 2019 - 5:58

240

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A cyclic group with finite order $k$ is isomorphic to group $\mathbb{Z}/k\mathbb{Z}$

Published on 07 May 2019 - 14:27

126

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Subgroups of the integers

Published on 27 Mar 2026 - 8:41

54

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Is it possible for a group action $f: C_{15} \times C_3 \to C_3$ to act transitively on $C_3$?

Published on 27 Mar 2026 - 0:59

86

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A question on a possible cyclic sieving phenomenon

Published on 27 Mar 2026 - 0:56

945

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What is a cyclic group?

Published on 12 May 2019 - 18:41

228

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How to find out all elements with specific order in $Z_p^*$

Published on 13 May 2019 - 6:58

List Question

Subgroup of finite field is invariant under Frobenius map

Find the normalizer of a cyclic subgroup of $S_7$

Prove that $E=\Bbb Q(\sqrt[d]{a})$

Is there some sort of classification of all minimal non-cyclic groups?

Clarification on the order of an element in the Pohlig-Hellman algorithm for groups whose order is a prime power

Groups, subgroups and quotient groups

Take G to be the cyclic group with 12 elements. Find an element g in G such that the equation x^2 = g has no solution

Prove that $G$ has at most one element of order $2$

Finite groups of cyclicality index 3

A cyclic group with finite order $k$ is isomorphic to group $\mathbb{Z}/k\mathbb{Z}$

Subgroups of the integers

Is it possible for a group action $f: C_{15} \times C_3 \to C_3$ to act transitively on $C_3$?

A question on a possible cyclic sieving phenomenon

What is a cyclic group?

How to find out all elements with specific order in $Z_p^*$

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