start-ver=1.4
cd-journal=joma
no-vol=44
cd-vols=
no-issue=1
article-no=
start-page=37
end-page=42
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2002
dt-pub=200201
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Ladder Index of Groups
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=
en-copyright=
kn-copyright=

en-aut-name=IshikawaKazuhiro
en-aut-sei=Ishikawa
en-aut-mei=Kazuhiro
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

en-aut-name=TanakaHiroshi
en-aut-sei=Tanaka
en-aut-mei=Hiroshi
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=2
ORCID=

en-aut-name=TanakaKatsumi
en-aut-sei=Tanaka
en-aut-mei=Katsumi
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=3
ORCID=

affil-num=1
en-affil=
kn-affil=Okayama University

affil-num=2
en-affil=
kn-affil=Okayama University

affil-num=3
en-affil=
kn-affil=Okayama University
END

start-ver=1.4
cd-journal=joma
no-vol=8
cd-vols=
no-issue=1
article-no=
start-page=1
end-page=6
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=1997
dt-pub=19970910
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=Model theory of doubly transitive groups
kn-title=2重可移群のモデル理論
en-subtitle=
kn-subtitle=
en-abstract=It is well known that we can interpret a near-domain in a doubly-transitive group and we can consruct a doubly-transitive group by a near-domain. This shows the equivalence of the study of doubly-transitive groups and that of near-domains. It is known that every finite near-domain is a near-field, however, it is open in infinite case. We investigate several open problems in this subject
and some model theoretic approaches (in case of finite Morley rank, geometric) to them.
kn-abstract=2重可移群には,near-domainを解釈することができ(定理13), またnear-domainから2重可移群を構成することができる｡つまり,2重可移群の研究はnear-domainの研究と同値になる｡ここで,有限のnear-domainがnear-fieldになることは知られているが,無限のnear-domainがnear-fieldになるかどうかは知られていない｡これに関連して,無限の2重可移群についても多くの未解決問題が残されている｡このノートでは,これらの問題にたいするモデル論的なアプローチ(Morley rank有限の場合の構造析,geometricな方法など)をいくつか紹介する｡
en-copyright=
kn-copyright=

en-aut-name=TanakaKatsumi
en-aut-sei=Tanaka
en-aut-mei=Katsumi
kn-aut-name=田中克己
kn-aut-sei=田中
kn-aut-mei=克己
aut-affil-num=1
ORCID=

affil-num=1
en-affil=
kn-affil=岡山大学医療技術短期大学部一般教育
en-keyword=置換群 (permutation group)
kn-keyword=置換群 (permutation group)
en-keyword=ω-安定 (ω-stable group)
kn-keyword=ω-安定 (ω-stable group)
en-keyword=Morley rank
kn-keyword=Morley rank
en-keyword=2重可移群 (doubly transitive group)
kn-keyword=2重可移群 (doubly transitive group)
END

start-ver=1.4
cd-journal=joma
no-vol=4
cd-vols=
no-issue=
article-no=
start-page=27
end-page=29
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=1994
dt-pub=19940131
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=Some topologies on stable groups
kn-title=安定群の上の位相について
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=In the theory of Linear algebraic groups, Zariski topology plays a crucial role. We introduce some topologies on general abstract groups generalizing Zariski topology in some sense. Especially we focus on stable groups, because not only the similarity of them with respect to some structure theorems but also we are interested in stable groups for their own right. In Linear algebraic groups, they have a descending chain condition on closed sebsets. Hence we may introduce some topologies on stable groups in order to satisfy the descending chain conditions on closed subsets whatever the topology is. According to this guide line we introduce some topologies stable groups and omega-stable groups.
en-copyright=
kn-copyright=

en-aut-name=TanakaKatsumi
en-aut-sei=Tanaka
en-aut-mei=Katsumi
kn-aut-name=田中克己
kn-aut-sei=田中
kn-aut-mei=克己
aut-affil-num=1
ORCID=

affil-num=1
en-affil=
kn-affil=岡山大学医療技術短期大学部一般教育
en-keyword=stable groups
kn-keyword=stable groups
en-keyword=Z-groups
kn-keyword=Z-groups
en-keyword=descending chain conditions
kn-keyword=descending chain conditions
END