On Sun's conjecture concerning disjoint cosets
| dc.creator | Zhu, Wan-Jie | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:50:13Z | |
| dc.date.available | 2026-07-07T09:50:13Z | |
| dc.description | In 2004, Zhi-Wei Sun posed the following conjecture: If a_1G_1,...,a_kG_k (k>1) are finitely many pairwise disjoint left cosets in a group G with all the indices [G:G_i] finite, then for some 1\le i<j\le k, the greatest common divisor of [G:G_i] and [G:G_j] is at least k. In this paper, we confirm Sun's conjecture for k=3,4. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0807.2207 | |
| dc.identifier | http://arxiv.org/abs/0807.2207 | |
| dc.identifier | International Journal of Modern Mathematics 3(2008), 197-206 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164868 | |
| dc.subject | Group Theory | |
| dc.subject | Number Theory | |
| dc.subject | 20D60; 05E99; 11B75; 20F99 | |
| dc.title | On Sun's conjecture concerning disjoint cosets | |
| dc.type | text |