Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Conjugacy in lattice-ordered groups and right ordered groups
-
V. V. Bludov
Veröffentlicht/Copyright:
19. September 2008
Abstract
We prove that if Gj are right orderable groups with non-trivial cyclic subgroups Cj (j = 1,2), then the (group) free product of G1 and G2 with C1 and C2 amalgamated is right orderable. We will deduce this from our main theorem that every lattice-ordered group can be embedded in one in which there are precisely four conjugacy classes. As a consequence of our method, we also show that every right ordered group can be embedded in a right ordered group in which any two non-identity elements are conjugate.
Received: 2007-08-23
Revised: 2007-11-05
Published Online: 2008-09-19
Published in Print: 2008-September
© de Gruyter 2008
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Generation gaps and abelianized defects of free products
- Abelian-by-polycyclic groups of homological type FP3
- Conjugacy in lattice-ordered groups and right ordered groups
- An approach to duality on abelian precompact groups
- Special abelian Moufang sets of finite Morley rank
- Cross characteristic representations of 3D4(q) are reducible over proper subgroups
- Examples of 3-dimensional 1-cohomology for absolutely irreducible modules of finite simple groups
- Short two-variable identities for finite groups
- Schur indices and commutators in supersolvable groups
- Two dual questions on zeros of characters of finite groups
- Supercharacters of the adjoint group of a finite radical ring
Artikel in diesem Heft
- Generation gaps and abelianized defects of free products
- Abelian-by-polycyclic groups of homological type FP3
- Conjugacy in lattice-ordered groups and right ordered groups
- An approach to duality on abelian precompact groups
- Special abelian Moufang sets of finite Morley rank
- Cross characteristic representations of 3D4(q) are reducible over proper subgroups
- Examples of 3-dimensional 1-cohomology for absolutely irreducible modules of finite simple groups
- Short two-variable identities for finite groups
- Schur indices and commutators in supersolvable groups
- Two dual questions on zeros of characters of finite groups
- Supercharacters of the adjoint group of a finite radical ring
