Tag: group-theory
- If $n$ odd, does $\begin{pmatrix}\zeta&0\\ 0&\zeta^{-1}\end{pmatrix}, \begin{pmatrix}0&-1\\ 1&0\end{pmatrix}$ generate the dihedral group
- Are there problems with this corollary of Schur’s Lemma
- Proving a non-cyclic $G$ has a cyclic subgroup of index $2$ and $G\cong D_k.$
- Group Theory – What is an Automorphism of a Function?
- Group Theory – Elementary Proof of $(\mathbb{Z}/16 \mathbb{Z})^{\times} \cong C_4 \times C_2$
- Group Theory – Does Abelian + Normal Imply Central?
- Group Theory – Proving $o(G) = p^n$ Without Fundamental Theorem of Finitely Generated Abelian Groups
- Abstract Algebra – Are the Character Tables for $Z$-Groups Known?
- Endomorphism with Image Equal to Subgroup in Finite Abelian Group
- Group Theory – Proof of Property Related to Group Rings