| Author | Ishikawa, Kazuhiro| Tanaka, Hiroshi| Tanaka, Katsumi| |
|---|---|
| Published Date | 2002-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume44 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33123 |
| JaLCDOI | 10.18926/15277 |
|---|---|
| Title Alternative | Model theory of doubly transitive groups |
| FullText URL | 008_1_001_006.pdf |
| Author | Tanaka, Katsumi| |
| 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｡ |
| Keywords | 置換群 (permutation group) ω-安定 (ω-stable group) Morley rank 2重可移群 (doubly transitive group) |
| Publication Title | 岡山大学医療技術短期大学部紀要 |
| Published Date | 1997-09-10 |
| Volume | volume8 |
| Issue | issue1 |
| Start Page | 1 |
| End Page | 6 |
| ISSN | 0917-4494 |
| language | Japanese |
| File Version | publisher |
| NAID | 120002307870 |
| JaLCDOI | 10.18926/11865 |
|---|---|
| Title Alternative | Some topologies on stable groups |
| FullText URL | 004_027_029.pdf |
| Author | Tanaka, Katsumi| |
| 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. |
| Keywords | stable groups Z-groups descending chain conditions |
| Publication Title | 岡山大学医療技術短期大学部紀要 |
| Published Date | 1994-01-31 |
| Volume | volume4 |
| Start Page | 27 |
| End Page | 29 |
| ISSN | 0917-4494 |
| language | Japanese |
| File Version | publisher |
| NAID | 120002313996 |
