On the vertices of indecomposable modules over dihedral 2-groups

Guodong Zhou

doi:10.1016/j.jalgebra.2009.01.005

On the vertices of indecomposable modules over dihedral 2-groups

Guodong Zhou^*

^*此作品的通讯作者

Université de Picardie Jules Verne

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

Let k be an algebraically closed field of characteristic 2. We calculate the vertices of all indecomposable k D₈-modules for the dihedral group D₈ of order 8. We also give a conjectural formula of the induced module of a string module from k T₀ to kG where G is a dihedral group of order ≥8 and where T₀ is a dihedral subgroup of index 2 of G. Some cases where we verified this formula are given.

源语言	英语
页（从-至）	1661-1685
页数	25
期刊	Journal of Algebra
卷	321
期	6
DOI	https://doi.org/10.1016/j.jalgebra.2009.01.005
出版状态	已出版 - 15 3月 2009
已对外发布	是

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10.1016/j.jalgebra.2009.01.005

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abstract = "Let k be an algebraically closed field of characteristic 2. We calculate the vertices of all indecomposable k D8-modules for the dihedral group D8 of order 8. We also give a conjectural formula of the induced module of a string module from k T0 to kG where G is a dihedral group of order ≥8 and where T0 is a dihedral subgroup of index 2 of G. Some cases where we verified this formula are given.",

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AB - Let k be an algebraically closed field of characteristic 2. We calculate the vertices of all indecomposable k D8-modules for the dihedral group D8 of order 8. We also give a conjectural formula of the induced module of a string module from k T0 to kG where G is a dihedral group of order ≥8 and where T0 is a dihedral subgroup of index 2 of G. Some cases where we verified this formula are given.

KW - Band module

KW - Dihedral group

KW - String module

KW - Vertex

UR - https://www.scopus.com/pages/publications/58749104510

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On the vertices of indecomposable modules over dihedral 2-groups

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