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

Joshua E. Ducey | Zendy; Peter Sin | Zendy

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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

Author(s) -

Joshua E. Ducey,

Peter Sin

Publication year - 2018

Publication title -

bulletin of the institute of mathematics academia sinica new series

Language(s) - English

Resource type - Journals

eISSN - 2304-7909

pISSN - 2304-7895

DOI - 10.21915/bimas.2018404

Subject(s) - projective space , complement (music) , projective test , mathematics , group (periodic table) , pure mathematics , graph , quaternionic projective space , algebra over a field , combinatorics , complex projective space , physics , chemistry , biochemistry , complementation , gene , phenotype , quantum mechanics

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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