List questions from cyclic-groups

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every group of order $105$ has a cyclic normal subgroup of index $3$ ?

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Cyclic finite groups and their direct product

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$\{m\in\mathbb Z_{2^n}:m\equiv 1 \mod 4\}$ is cyclic

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Rubik's Slide Proof's and Symmetries in a Rubik's Slide

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Does (Z, +) have two generators but infinitely many generating sets?

Published on 26 Nov 2014 - 14:01

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Homomorphism and kernel

Published on 29 Nov 2014 - 16:40

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Symmetries of a $9$ puzzle (Rubik's Slide)

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Finding/Creating a Modern Algebra theorem

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Existence of a generator over multiplication for integers modulo p

Published on 09 Dec 2014 - 3:21

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Finding homomorphisms

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Let $G$ be any group and $x \in G$ , then $N_G(\langle x \rangle)/C_G(\langle x \rangle)$ is finite ?

Published on 12 Dec 2014 - 5:54

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show a quotient group is cyclic

Published on 12 Dec 2014 - 16:51

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Find the order of the intersection of two cyclic groups

Published on 13 Dec 2014 - 17:13

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Find the number of subgroups in $Z_p \times Z_p \times Z_p$

Published on 15 Dec 2014 - 23:35

List Question

Internal and Direct Product question, need help with explanation

every group of order $105$ has a cyclic normal subgroup of index $3$ ?

Cyclic finite groups and their direct product

$\{m\in\mathbb Z_{2^n}:m\equiv 1 \mod 4\}$ is cyclic

Rubik's Slide Proof's and Symmetries in a Rubik's Slide

Does (Z, +) have two generators but infinitely many generating sets?

Homomorphism and kernel

Symmetries of a $9$ puzzle (Rubik's Slide)

Finding/Creating a Modern Algebra theorem

Existence of a generator over multiplication for integers modulo p

Finding homomorphisms

Let $G$ be any group and $x \in G$ , then $N_G(\langle x \rangle)/C_G(\langle x \rangle)$ is finite ?

show a quotient group is cyclic

Find the order of the intersection of two cyclic groups

Find the number of subgroups in $Z_p \times Z_p \times Z_p$

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