Orbit Configurations of Ordered Permutation Groups |
Contents
Fixed Points in General Permutation Groups | 47 |
Chapter 6 | 56 |
Chapter 8 | 72 |
4 other sections not shown
Common terms and phrases
a-configuration of G a-full o-block a-full point a-full set block cofinal configuration Conv Corollary cyclically periodic Dedekind complete Dedekind cuts define finite fixed points FxGa g & G G acting G is depressible G is o-primitive G which contains G₁ G₂ group isomorphism Hence integers interval of support inversely well ordered l-subgroup of A(N Lemma Let G locally o-primitive MidG MidGa natural o-block non-trivial o-block o-block of G o-block system o-group o-isomorphism o-permutation group o-primitive groups o-set orbit of G ordered set permutation positive long orbit positive orbits primitive segment Proof properly contained Proposition regular representation right ray set of orbits SFXG SFxG)g SFxGa SLnG SMidG strongly long orbit subgroup of G subset support h₂ totally ordered transitive l-subgroup translate weakly o-primitive WFXG WLnG WLnG)g WLnGa wreath product αα αβ αγ κα