岡山大学環境理工学部研究報告 ISSN 2187-6940

Published by Faculty of Environmental Science and Technology, Okayama University

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DOI : http://doi.org/10.18926/fest/11601

The Gap condition for S5 and GAP Programs

森本雅治岡山大学 Kaken ID researchmap

柳原守 Department of Industrial and Information Studies, Komatsu College

001_001_013.pdf 347 KB

抄録

In transformation groups on manifolds, it has been an interesting problem to ask whether for a given finite group G, there exists a real G-module V such that dim VP >2dimV>P for all subgroups P of prime power order and such that VH=0 for certain large subgroups H of G. This paper provides GAP programs to show that S5 does not admit such a real S5-module V.

キーワード

GAP

fixed point

gap condition

ISSN

1341-9099

NCID

AN10529213

NAID

120002313410