Title of article
On the critical group of the n-cube
Author/Authors
Yu-Hua Bai، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
11
From page
251
To page
261
Abstract
Reiner proposed two conjectures about the structure of the critical group of the n-cube Qn. In this paper we confirm them. Furthermore we describe its p-primary structure for all odd primes p. The results are generalized to Cartesian product of complete graphs Kn1× ×Knk by Jacobson, Niedermaier and Reiner.
Keywords
Laplacian matrix , Smith normal form , Sylowp-group , n-cube , critical group , Sandpile group
Journal title
Linear Algebra and its Applications
Serial Year
2003
Journal title
Linear Algebra and its Applications
Record number
823994
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