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Automorphism Groups of Infinite Semilinear Orders (II)
Author(s) -
Droste M.,
Holland W. C.,
Macpherson H. D.
Publication year - 1989
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-58.3.479
Subject(s) - mathematics , automorphism , countable set , divisibility rule , isomorphism (crystallography) , transitive relation , automorphism group , inner automorphism , pure mathematics , equivalence (formal languages) , outer automorphism group , group isomorphism , combinatorics , discrete mathematics , chemistry , crystal structure , crystallography
This paper and its predecessor examine certain infinite semilinear orders (‘trees’) and their automorphism groups. Here we classify weakly 2‐transitive trees up to L ∞ο ‐equivalence, and countable weakly 2‐transitive trees up to isomorphism. Various results are obtained about the automorphism groups, concerning torsion, divisibility, and subgroups of small index. The automorphism groups of some related treelike structures and their normal subgroup lattices are also examined.