start-ver=1.4
cd-journal=joma
no-vol=1
cd-vols=
no-issue=1
article-no=
start-page=1
end-page=13
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=1996
dt-pub=199603
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=The Gap condition for S5 and GAP Programs
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=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.
en-copyright=
kn-copyright=

en-aut-name=MorimotoMasaharu
en-aut-sei=Morimoto
en-aut-mei=Masaharu
kn-aut-name=森本雅治
kn-aut-sei=森本
kn-aut-mei=雅治
aut-affil-num=1
ORCID=

en-aut-name=YanagiharaMamoru
en-aut-sei=Yanagihara
en-aut-mei=Mamoru
kn-aut-name=柳原守
kn-aut-sei=柳原
kn-aut-mei=守
aut-affil-num=2
ORCID=

affil-num=1
en-affil=
kn-affil=岡山大学

affil-num=2
en-affil=
kn-affil=Department of Industrial and Information Studies, Komatsu College
en-keyword=GAP
kn-keyword=GAP
en-keyword=fixed point
kn-keyword=fixed point
en-keyword=gap condition
kn-keyword=gap condition
END