List questions from cyclic-groups

Published on 13 Mar 2021 - 3:59

599

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Is $(Q,.)$ an abelian and cyclic group?

Published on 13 Mar 2021 - 10:15

224

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If every non-trivial proper subgroup of $G$ is cyclic then is $G$ cyclic?

Published on 17 Mar 2021 - 1:53

72

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Abelian subgroup but not cyclic

Published on 18 Mar 2021 - 0:21

209

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Cyclic subgroup of $A_5$

Published on 18 Mar 2021 - 14:45

240

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Hasse diagram for cyclic group of order 30

Published on 19 Mar 2021 - 11:04

329

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Regular representation of the cyclic group of order 3

Published on 19 Mar 2021 - 17:50

74

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If $\langle a\rangle$ is a cyclic group of order $90$, write $a$ as the product of $p$-elements, for various primes $p$.

Published on 20 Mar 2021 - 15:08

122

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Number of index $p^k$ subgroups

Published on 21 Mar 2021 - 15:16

98

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Cyclic subgroups of Torus

Published on 22 Mar 2021 - 4:21

121

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Subgroups of finite abelian group

Published on 31 Mar 2026 - 16:06

108

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Number of generating elements in a finite cyclic group

Published on 22 Mar 2021 - 20:30

90

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If $A\subseteq B$, then is $\langle A \rangle \le \langle B \rangle$?

Published on 23 Mar 2021 - 7:21

482

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Find all subgroups of $\mathbb{Z_7}\times\mathbb{Z_5}$

Published on 28 Mar 2026 - 9:50

218

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When $G/H$ is cyclic?

Published on 25 Mar 2021 - 22:51

List Question

Artin exercise 2.4.5

Is $(Q,.)$ an abelian and cyclic group?

If every non-trivial proper subgroup of $G$ is cyclic then is $G$ cyclic?

Abelian subgroup but not cyclic

Cyclic subgroup of $A_5$

Hasse diagram for cyclic group of order 30

Regular representation of the cyclic group of order 3

If $\langle a\rangle$ is a cyclic group of order $90$, write $a$ as the product of $p$-elements, for various primes $p$.

Number of index $p^k$ subgroups

Cyclic subgroups of Torus

Subgroups of finite abelian group

Number of generating elements in a finite cyclic group

If $A\subseteq B$, then is $\langle A \rangle \le \langle B \rangle$?

Find all subgroups of $\mathbb{Z_7}\times\mathbb{Z_5}$

When $G/H$ is cyclic?

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