Relations Related to Betweenness (eBook)

Their Structure and Automorphisms

Samson Adeleke (Autor)

eBook Download: PDF

125 Seiten
American Mathematical Society (Verlag)
978-1-4704-0212-9 (ISBN)

Infos

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 ("e;leaves"e; or "e;ends"e; or "e;directions"e;) of trees. The focus is on structure theorems and on automorphism groups, with applications to the theory of infinite permutation groups. Features: 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 considers their automorphism groups as important examples of Jordan permutation groups

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• ISBN-10: 1-4704-0212-2 / 1470402122
• ISBN-13: 978-1-4704-0212-9 / 9781470402129