000			03063nam a2200349 i 4500
008			030606s1980 gw a b 001 0 eng
010			_a2003269778
020			_a3540442375 _qacid-free paper
040			_aDLC _cDLC _dOSU
041	1		_aeng _hfre _dBAUN
049			_aBAUN_MERKEZ
050	0	4	_aQA166.2 _b.S37 1980
082	0	0	_222
100	1		_aSerre, Jean-Pierre, _d1926-
240	1	0	_aArbres, amalgames, SL₂. _lEnglish
245	1	0	_aTrees / _cJean-Pierre Serre ; translated from the French by John Stillwell
264		1	_aBerlin ; _aNew York : _bSpringer, _c1980.
300			_aix, 142 pages : _billustrations ; _c24 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aSpringer monographs in mathematics, _x1439-7382
504			_aIncludes bibliographical references (pages [137]-139) and index
505	0	0	_tContents _tIntroduction _tCh. I. Trees and Amalgams _t1. Amalgams _t1.1. Direct limits _t1.2. Structure of amalgams _t1.3. Consequences of the structure theorem _t1.4. Constructions using amalgams _t1.5. Examples _t2. Trees _t2.1. Graphs _t2.2. Trees _t2.3. Subtrees of a graph _t3. Trees and free groups _t3.1. Trees of representatives _t3.2. Graph of a free group _t3.3. Free actions on a tree _t3.4. Application: Schreier's theorem _tApp. Presentation of a group of homeomorphisms _t4. Trees and amalgams _t4.1. The case of two factors _t4.2. Examples of trees associated with amalgams _t4.3. Applications _t4.4. Limit of a tree of groups _t4.5. Amalgams and fundamental domains (general case) _t5. Structure of a group acting on a tree _t5.1. Fundamental group of a graph of groups _t5.2. Reduced words _t5.3. Universal covering relative to a graph of groups _t5.4. Structure theorem _t5.5. Application: Kurosh's theorem _t6. Amalgams and fixed points _t6.1. The fixed point property for groups acting on trees _t6.2. Consequences of property (FA) _t6.3. Examples _t6.4. Fixed points of an automorphism of a tree _t6.5. Groups with fixed points (auxiliary results) _t6.6. The case of SL[subscript 3](Z) _tCh. II. SL[subscript 2] _t1. The tree of SL[subscript 2] over a local field _t1.1. The tree _t1.2. The groups GL(V) and SL(V) _t1.3. Action of GL(V) on the tree of V; stabilizers _t1.4. Amalgams _t1.5. Ihara's theorem _t1.6. Nagao's theorem _t1.7. Connection with Tits systems _t2. Arithmetic subgroups of the groups GL[subscript 2] and SL[subscript 2] over a function field of one variable _t2.1. Interpretation of the vertices of [Gamma]\X as classes of vector bundles of rank 2 over C _t2.2. Bundles of rank 1 and decomposable bundles _t2.3. Structure of [Gamma]\X _t2.4. Examples _t2.5. Structure of [Gamma] _t2.6. Auxiliary results _t2.7. Structure of [Gamma]: case of a finite field _t2.8. Homology _t2.9. Euler-Poincare characteristic _tBibliography _tIndex.
650		0	_aTrees (Graph theory)
650		0	_aLinear algebraic groups
650		0	_aFree groups
830		0	_978475 _aSpringer monographs in mathematics, _x1439-7382
900			_a19555
900			_bSatın
942			_2lcc _cKT
999			_c16792 _d16792