On Sun's conjecture concerning disjoint cosets

Details On Sun's conjecture concerning disjoint cosets On Sun's conjecture concerning disjoint cosets

2008-07-14

arxiv.org/abs/0807.2207v1

International Journal of Modern Mathematics 3(2008), 197-206

Mathematics

Group Theory

10 pages

Scientific paper

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 idivisor of [G:G_i] and [G:G_j] is at least k. In this paper, we confirm Sun's
conjecture for k=3,4.

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