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Relations Related to Betweenness Their Structure and Automorphisms Book PDF Summary

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.

Detail Book of Relations Related to Betweenness Their Structure and Automorphisms PDF

Relations Related to Betweenness  Their Structure and Automorphisms
  • Author : Samson Adepoju Adeleke
  • Release : 04 July 1998
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821806234
  • Genre : Mathematics
  • Total Page : 125 pages
  • Language : English
  • PDF File Size : 7,5 Mb

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