The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group

We give an explicit formula for the number of chains of subgroups in the lattice of subgroups of the dicyclic group B4n of order 4n by finding its generating function of multivariables.

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Main Authors: Ju-Mok Oh, Yunjae Kim, Kyung-Won Hwang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/760246
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author Ju-Mok Oh
Yunjae Kim
Kyung-Won Hwang
author_facet Ju-Mok Oh
Yunjae Kim
Kyung-Won Hwang
author_sort Ju-Mok Oh
collection DOAJ
description We give an explicit formula for the number of chains of subgroups in the lattice of subgroups of the dicyclic group B4n of order 4n by finding its generating function of multivariables.
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institution Kabale University
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publishDate 2012-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-2a852e6e4c3d4ada9277295a5a7505d32025-02-03T06:44:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/760246760246The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic GroupJu-Mok Oh0Yunjae Kim1Kyung-Won Hwang2Department of Mathematics, Kangnung-Wonju National University, Kangnung 210-702, Republic of KoreaDepartment of Mathematics, Dong-A University, Busan 604-714, Republic of KoreaDepartment of Mathematics, Dong-A University, Busan 604-714, Republic of KoreaWe give an explicit formula for the number of chains of subgroups in the lattice of subgroups of the dicyclic group B4n of order 4n by finding its generating function of multivariables.http://dx.doi.org/10.1155/2012/760246
spellingShingle Ju-Mok Oh
Yunjae Kim
Kyung-Won Hwang
The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group
Discrete Dynamics in Nature and Society
title The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group
title_full The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group
title_fullStr The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group
title_full_unstemmed The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group
title_short The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group
title_sort number of chains of subgroups in the lattice of subgroups of the dicyclic group
url http://dx.doi.org/10.1155/2012/760246
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