有限射影空间中直线及其补的Grassmann图的Smith群和临界群

IF 0.1 Q4 MATHEMATICS

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2017-06-05 DOI:10.21915/BIMAS.2018404

Joshua E. Ducey, Peter Sin

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引用次数: 5

摘要

我们计算了有限向量空间中$2$维子空间上的Grassmann图的邻接矩阵和拉普拉斯矩阵的初等因子。我们还计算了互补图的不变量。

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The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement

We compute the elementary divisors of the adjacency and Laplacian matrices of the Grassmann graph on $2$-dimensional subspaces in a finite vector space. We also compute the corresponding invariants of the complementary graphs.

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来源期刊

Bulletin of the Institute of Mathematics Academia Sinica New Series MATHEMATICS-

自引率

50.00%

发文量