000			03254nam a22004693i 4500
001			EBC5295190
003			MiAaPQ
005			20240729131756.0
006			m o d |
007			cr cnu||||||||
008			240724s1993 xx o ||||0 eng d
020			_a9780821877425 _q(electronic bk.)
020			_z9780821851876
035			_a(MiAaPQ)EBC5295190
035			_a(Au-PeEL)EBL5295190
035			_a(OCoLC)1037818121
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA9.7 .R83 1993
082	0		_a511/.5
100	1		_aRubin, Matatyahu.
245	1	4	_aThe Reconstruction of Trees from Their Automorphism Groups.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1993.
264		4	_c©1993.
300			_a1 online resource (286 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics Series ; _vv.151
505	0		_aIntro -- Contents -- Summary -- 0. An extended introduction -- 1. Some preliminaries concerning interpretations, groupsand N0 -categoricity -- 2. A new reconstruction theorem for Boolean algebras -- 3. The completion and the Boolean algebra of a U-tree -- 4. The statement of the canonization and reconstruction theorems -- 5. The canonization of trees -- 6. The reconstruction of the Boolean algebra of a U-tree -- 7. The reconstruction of PT(Exp(M)) -- 8. Final reconstruction results -- 9. Observations, examples and discussion -- 10. Augmented trees -- 11. The reconstruction of N0-categorical trees -- 12. Nonisomorphic 1-homogeneous chains which have isomorphic automorphism groups -- Bibliography -- A list of notations and definitions.
520			_aTrees, sometimes called semilinear orders, are partially ordered sets in which every initial segment determined by an element is linearly ordered. This book focuses on automorphism groups of trees, providing a nearly complete analysis of when two trees have isomorphic automorphism groups. Special attention is paid to the class of \aleph _0-categorical trees, and for this class the analysis is complete. Various open problems, mostly in permutation group theory and in model theory, are discussed, and a number of research directions are indicated. Aimed at graduate students and researchers in model theory and permutation group theory, this self-contained book will bring readers to the forefront of research on this topic.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aModel theory.
650		0	_aAutomorphisms.
650		0	_aTrees (Graph theory).
655		4	_aElectronic books.
776	0	8	_iPrint version: _aRubin, Matatyahu _tThe Reconstruction of Trees from Their Automorphism Groups _dProvidence : American Mathematical Society,c1993 _z9780821851876
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295190 _zClick to View
999			_c136239 _d136239