Conjugacy classes and finite $p$-groups
| dc.creator | Adan-Bante, Edith | |
| dc.date | 2005-04-07 | |
| dc.date.accessioned | 2026-07-07T05:18:54Z | |
| dc.date.available | 2026-07-07T05:18:54Z | |
| dc.description | Let $G$ be a finite $p$-group, where $p$ is a prime number, and $a\in G$. Denote by $\Cl(a)=\{gag^{-1}\mid g\in G\}$ the conjugacy class of $a$ in $G$. Assume that $|\Cl(a)|=p^n$. Then $\Cl(a)\Cl(a^{-1})=\{xy\mid x\in \Cl(a), y\in \Cl(a^{-1})\}$ is the union of at least $n(p-1)+1$ distinct conjugacy classes of $G$. | |
| dc.identifier | https://arxiv.org/abs/math/0504156 | |
| dc.identifier | http://arxiv.org/abs/math/0504156 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74829 | |
| dc.subject | Group Theory | |
| dc.subject | 20 | |
| dc.title | Conjugacy classes and finite $p$-groups | |
| dc.type | text |