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Serre J.P. — Trees
Serre J.P. — Trees

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Название: Trees

Автор: Serre J.P.

Аннотация:

"Serre's notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups. This fine translation is very welcome and I strongly recommend it as an introduction to an important subject. In Chapter I, which is self-contained, the pace is fairly gentle. The author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the (rather difficult) proof of the general case." (A.W. Mason in Proceedings of the Edinburgh Mathematical Society 1982)


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1980

Количество страниц: 142

Добавлена в каталог: 14.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$I_p$-equivalent (vector bundles)      97
Adjacent (vertices)      13
Amalgam      2
Amalgamated sum      2
Backtracking      15
Barycentric subdivision      14
Bounded (subset of a tree)      20 36
Circuit      15
Coherent (edges)      62
Combinatorial graph      16
Contraction (of subtrees)      22
Cusp      104
Decomposable (vector bundle)      101
Determinant (of a vector bundle)      97
Diagram (representing a graph)      13
Diameter      20
Direct limit      1
Discrete (valuation)      69
Distance (in a tree)      18
Edge (of a graph)      13
End (of a tree)      21 72
Euler — Poincare (characteristic)      22 131
Euler — Poincare (measure)      83
Fixed point property      58
Free (action of a group)      27
Free product      2
Fundamental (domain)      32
Geodesic      18 61
Geometric edge      16
Graph      13
Graph defined by a group      16 26
Graph of groups      37 41
Hecke (operators)      73
HNN (construction)      9 44
Hyperbolic (automorphism)      64 77
Injective (morphism of graphs)      13
Inverse (edge)      13
inversion      25
Iwahori (subgroup)      77
Kurosh's theorem      57
Lattice      69
Length (of an element of an amalgam)      5
Limit (of a tree of groups)      37
Line bundle      97
Locally injective (morphism of graphs)      39
Loop      15
Margulis — Tits' theorem      68
Maximal (tree)      21
Nagao's theorem      11 85
Orientation (of a graph)      13
Oriented (graph)      13
Origin (of an edge)      13
Parabolic (subgroup)      90
Path (in a graph)      14
Property (FA)      58
Quotient (graph)      25
Rank (of a free group)      29
Realization (of a graph)      14
Reduced (word)      2 45
Relative (homology)      133
Representatives (tree of )      25
Residually finite (group)      122
Schreicr's theorem      29
Segment      32
Semistable (vector bundle)      101
Stable (vector bundle)      101
Steinberg (module)      132
Straight path      62
Subbundle (of a vector bundle)      100
Tannaka — Artin (problem)      74
Terminal (vertex)      19
Terminus (of an edge)      13 20
Tits system      89
TREE      17
Trefoil knot (group)      11
Type (of a reduced word)      3 42 45
Type (of an element of an amalgam)      5
Universal covering      50
Van Kampen's theorem      1
Vector bundle      96
Vertex (of a graph)      13
Virtual (property)      121
Weyl group      90
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