The Cyclic Graph of a $2$-Frobenius Group
The Cyclic Graph of a $2$-Frobenius Group
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$2$-Frobenius 群的循环图
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
M. Lewis
中科院分区：
文献类型：
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作者：
D. Costanzo;M. Lewis
群G的循环图是其顶点是G的非单位元素且其边连接不同元素x和y的图当且仅当子群x，y是循环的。我们得到了2-Frobenius群的循环图的信息。2-Frobenius群的循环图是不连通的。本文确定了任意2-Frobenius群的循环图的连通分支数。
The cyclic graph of a group G is the graph whose vertices are the nonidentity elements of G and whose edges connect distinct elements x and y if and only if the subgroup 〈x, y〉 is cyclic. We obtain information about the cyclic graph of 2-Frobenius groups. The cyclic graph of a 2-Frobenius group is disconnected. In this paper, we determine the number of connected components of the cyclic graph of any 2-Frobenius group.