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

Ju-Mok Oh; Yunjae Kim; Kyung-Won Hwang

doi:10.1155/2012/760246

Discrete Dynamics in Nature and Society (Jan 2012)

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

Ju-Mok Oh,
Yunjae Kim,
Kyung-Won Hwang

Affiliations

Ju-Mok Oh: Department of Mathematics, Kangnung-Wonju National University, Kangnung 210-702, Republic of Korea
Yunjae Kim: Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea
Kyung-Won Hwang: Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea

DOI: https://doi.org/10.1155/2012/760246
Journal volume & issue: Vol. 2012

Abstract

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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.

Published in Discrete Dynamics in Nature and Society

ISSN: 1026-0226 (Print); 1607-887X (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/3059

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