List questions from cyclic-groups | MathQa

Simultaneously diagonalize the regular representation of C2 (+) C2 (+) C2.

Published on 12 Jan 2025 - 23:34

Prove that $ a^6 = b^{11} $

Published on 12 Jan 2025 - 17:20

Prove that the four-group $\{1,a,b,c \}$ is not cyclic.

Published on 12 Jan 2025 - 23:53

Let $ G $ be a group and $ N \lhd G $. Why is $G $ supersoluble if $ N $ is cyclic and $ G/N $ is supersoluble?

Published on 12 Jan 2025 - 9:00

What is a cyclic group with exactly one generator?

Published on 12 Jan 2025 - 9:00

The order of elements and cyclic subgroups of $\mathbb Z/18\mathbb Z$

Published on 12 Jan 2025 - 9:00

Proving that the multiplicative group modulo $2^r$ are cyclic iff $r<3$

Published on 12 Jan 2025 - 9:00

Subgroups of $G=(\mathbb{Z}_{12},+)$

Published on 12 Jan 2025 - 17:59

Proof that the following multiplicative groups modulo m are cyclic

Published on 12 Jan 2025 - 9:00

Determine the exact number of subgroups of $\mathbb{Z}_{924}$ with addition

Published on 12 Jan 2025 - 9:00