Finite groups with conjugacy classes number one greater than its same order classes number
| dc.creator | Du, Xianglin | |
| dc.creator | Shi, Wujie | |
| dc.date | 2005-09-16 | |
| dc.date.accessioned | 2026-07-07T05:23:16Z | |
| dc.date.available | 2026-07-07T05:23:16Z | |
| dc.description | Let $k(G)$ be the number of conjugacy classes of finite groups $G$ and $π_e(G)$ be the set of the orders of elements in $G$. Then there exists a non-negative integer $k$ such that $k(G)=|π_e(G)|+k$. We call such groups to be $co(k)$ groups. This paper classifies all finite $co(1)$ groups. They are isomorphic to one of the following groups: $A_5, L_2(7), S_5, Z_3, Z_4, S_4, A_4$, $D_{10}, Hol(Z_5)$, or $Z_3\rtimes Z_4$. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509376 | |
| dc.identifier | http://arxiv.org/abs/math/0509376 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76367 | |
| dc.subject | Group Theory | |
| dc.subject | 20D60, 20D05, 20D10 | |
| dc.title | Finite groups with conjugacy classes number one greater than its same order classes number | |
| dc.type | text |