Relations related to betweenness. Their structure and automorphisms.

Adeleke, S. A.; Neumann, Peter M.

ISBN 10: 0821806238 / ISBN 13: 9780821806234

Editore: Providence, American Math. Soc, 1998

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Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00901 9780821806234 Sprache: Englisch Gewicht in Gramm: 150.

Codice articolo 2484741

Dati bibliografici

• Titolo: Relations related to betweenness. Their structure and automorphisms.
• Editore: Providence, American Math. Soc
• Data di pubblicazione: 1998
• Lingua: Inglese
• ISBN 10: 0821806238
• ISBN 13: 9780821806234
• Rilegatura: Softcover
• Peso: 150 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

This volume is about tree-like structures, namely semilinear ordering, general betweenness relations, $C$-relations and $D$-relations. It contains a systematic study of betweenness and introduces $C$ and $D$-relations to describe the behavior of points at infinity ('leaves' or 'ends' or 'directions') of trees. The focus is on structure theorems and on automorphism groups, with applications to the theory of infinite permutation groups. This work: offers the first systematic treatment of betweenness relations; introduces important new concepts of $C$-relations and $D$-relations; elucidates the close relationships between semilinear orderings, betweenness relations, $C$ and $D$-relations; and, considers their automorphism groups as important examples of Jordan permutation groups.