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中文摘要：
本文研究了局部连通图的群连通性的问题.利用不断收缩非平凡Z3-连通子图的方法,在G是3-边连通且局部连通的无爪无沙漏图的情况下,获得了G不是群Z3-连通的当且仅当G是K4或W5.推广了当G是2-边连通且局部3-边连通时,G是群Z3-连通的这个结果.
英文摘要：
On this paper,we investigate group connectivity of locally connected groups.Suppose that G is a 3-edge-connected and locally connected simple graph with {H,K（1,3）}- free.By repeatedly contracting nontrivial Z3- connected subgraph of G,we obtain that G is not Z3-connected if and only if G is K4 or W5,which generalizes the result that G is Z3- connected if G is 2-edge-connected and locally 3-edge-connected.
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