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Dicks W., Dunwoody M.J. — Groups acting on graphs
Dicks W., Dunwoody M.J. — Groups acting on graphs



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Название: Groups acting on graphs

Авторы: Dicks W., Dunwoody M.J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 294

Добавлена в каталог: 23.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$FP$, $FP_{n}$, $FP_{\infty}$, group      155
$FP$, $FP_{n}$, $FP_{\infty}$, module      144
($G$, $W$)-weight      197
($G$-) module      28
($G$-)action      3
($G$-)compressible ($G$-)set      90
($G$-)compressible ($G$-)trec      90
($G$-)compressible edge      90
($G$-)finite      4
($G$-)free ($G$-)set      3
($G$-)incompressible, ($G$-)set      90
($G$-)incompressible, ($G$-)tree      90
($G$-)incompressible, edge      90
($G$-)isomorphic      3
($G$-)linear map      28
($G$-)map      3
($G$-)orbit      3
($G$-)retract      73
($G$-)set      3
($G$-)set, right      3
($G$-)stabilized      3
($G$-)stabilizer      3
($G$-)stable      3
($G$-)subgraph      4 5
Accessible      130
Acyclic      141
Adjacent      57
Affinely independent      216
Almost ($G$-)stable      48
Almost all      59
Almost equal      48
Almost equality class      48
Almost equality class, for a tree      74
Almost finitely presented (afp) group      229
Almost Stability Theorem      74 99
ARC      243
Aspherical      135
atoms      54 62
Attaching maps      79
Augmentation, homomorphism      111
Augmentation, ideal      111
Augmentation, map      29 115
Augmentation, module      29 115
Augmented cellular chain complex      29
Automorphism group      21-8
Automorphism of free group      24 37-8
Automorphism of graph      5
Automorphism, affine      28
Automorphism, de Jonqui$\grave{e}$res      28
Band      227
Band, twisted      227
Band, untwisted      227
Base of fibred tree      79 80
Blowing up      78-80
Boolean ring      54 124
Boolean ring of graph      54
Boolean ring of group      126
Boolean space      124
Boolean space of graph      124
Boolean space of group      126
Boundary      138 141
Boundary irreducible three-manifold      258
Boundary map      29
Cap product      146-7
Cayley graph      5
Cellular chain complex      29
Chain of Type B      251
Chain of Type C      253
Chain of Type D.      253
Chain, equivalence      141
Chain, inverse      141
Chain, map      141
Changes of Type A      250
Chararcteristic of ring      206 (see also Euler chararcteristic)
Clopen      124
Closed munifold      135
Closed path      8
Coboundary      54
Cocomplex      141
Cohomological dimension      110
Cohomology of group      107 135 157
Cohomology of pair      138 176
Coinduced module      107
Commute with direct limits      143
Compatible patterns      235
Complete graph      67
COMPLEX      29 141
Component of function      54
Component of graph      9
Component of set of edges      88
compress      90
Compressing disc      260
Concatatation of paths      8
Concatatation of words      1
Concentrated      141
Conjugation      3
Connected element of Boolean ring of graph      55
Connected graph      9
Connected relation in graph      9
Connected set of vertices in graph      55
Connecting elements      11
Connecting map      142
contracting      9
Contracting, map      9
Costructure map of tree      48
Countably generated over a subgroup      82
Covering map      221
cube      41
Cut      54
CYCLE      141 218
Cyclic group      2
Degree      141
Derivation      30
Derivation, inner      31
Derivation, outer      31
Derived complex      217
Diagonal $G$-action      3
Diagonal map      179
Diagonal set      42
Differential      141
Dihedral group      2
Dimension, Cohomological      110
Dimension, duality      136 139 152 156 158 175 177
Dimension, projective      110
Disc equivalent one-submanifolds      243
Disc equivalent two-submanifolds      254
Distance in tree      8
Distance in unoriented graph      67
Distance-transitive      67 71
Doubly infinite path      18
Dual map      47
Dual of CW-complex      161 164
Dual of linear map      149
Dual of module      149
Dual of Poincar$\acute{e}$ module      152
Duality      see Poincar$\acute{e}$ and geometric duality
EDGE      4
Edge, function      11
Edge, group      11
Edge, set      4
Empty path      8
Ends of graph      124
Ends of group      126
Ends, more than one      128
Ends, two      129- 30
Essential vertex      232
Euler characteristic      36 105 163
Exact complex      29
Ext      142
Exterior element      62
Fibre      79 80
Fibred tree      79 80
Finitely generated group over a subgroup      82
Finitely generated projective resolution      144
Forest      9
Free Abelian group      21 28
Free action on set      3
Free action on tree      16
Free algebra      28
Free factor      123
Free generators      2
Free group      2
Free object      21
Free product      14
Free product, with amalgamation      14
Fundamental ($G$-) transversal      10
Fundamental class for group      157
Fundamental class for module      152
Fundamental class for pair      176
Fundamental domain      220
Fundamental group of a graph      13 36
Fundamental group of a graph of groups      13 32
Fundamental group of a topological space      220
GD      see Geometric duality
General linear group      21-8 106
Generate Boolean ring      54
Generate group      1
Generate subgroup      2
Generate subtree      8
Generating set      1
Generators      2
Geodesic in tree      8
Geodesic in unoriented graph      67
Geometric duality, group      136 158
Geometric duality, pair      139 177
Geometric realization      5
Going into      5
Going out of      5
Graded abelian group      141
Graded map      141
Graded over $G$-set      179
Graph      5
Graph of groups      11
Graph of groups, associated to ($G$-)graph      11
Graph, ($G$-)      4
Graph, automorphism of      5
Graph, complete      67
Graph, directed multi      45
Graph, isomorphism of      5
Graph, map      5
Graph, unoriented      67
Grushko — Neumann theorem      45
HNN extension      14
Homogeneous      141
Homology      141
Homology, for group      135 157
Homology, for pair      138 176
Homology, for simplicial complex      219
Homology, on paths      8
Homotopy      141
Inaccessible      130
Incidence functions on edges      4
Incident to      4
Index of subgroup      3
Indicable      207
Induced module      107
Infinite path      18
Initial vertex of edge      4
Initial vertex of path      8
Interior element      62
Inverse of path      8
Inverse of word, I invertible on      115
Involution      155
Irreducible three-manifold      258
Kaplansky’s Theorem      203
Kronecker product      219
Kurosh subgroup theorem      35
Lattice      25 59
Left conjugation      3
Length of path      8
Lift      142
Locally finite graph      5
Loop      4
Maximal subtree      11
Minimal ($G$-)subtree      20
Neighbour of vertex      5
Neighbourhood of vertex      5
nested elements      47
Nested subset      48 53
Nielsen — Schreier theorem      37
Normal form      45
Normal surface      248
Occur in path      8
Opposite      57
Orbit space      220
Orientable      136 139 157 176
Orientation, involution      156 176
Orientation, map      136 156 176 177
Orientation, module      156 175
Partition for a function      88
Path      8
Path, closed      8
Path, doubly infinite      18
Path, empty      8
Path, infinite      18
Path, inverse      8
Path, reduced      8
Path, simple closed      8
Pattern      224
Pattern, equivalence      225
Pattern, reduced      228
Patterned surface      246
pd      see Poincar$\acute{e}$ duality
Piece      249
Planar Group      162
Poincar$\acute{e}$ duality for manifolds      135
Poincar$\acute{e}$ duality group      136 156
Poincar$\acute{e}$ duality module      152
Poincar$\acute{e}$ duality pair      139 175
Point, away from      18
Point, in opposite directions      18
Point, in same direction      18
Point, to      18
Polyhedron      216
Polynomial ring      28
Presentation      1
Projection map      179
Projective ($G$-) module      109
Projective complex      142
Projective dimension      110
Projective linear group      21 24 103 106
Projective module      110
Projective resolution      110 142
Projective special linear group      21 24 106
Proper action      136
Quotient graph      5
Quotient set      3
Rank of graph      36
Rank of group      2
Realization of a graph      5
Realization of a simplicial complex      217
Reduced path      8
Refine      87
Relation set      2
Relations      2
Relators      2
Respect nesting      49 53
Returning arc      250
Right $G$-set      3
Right conjugation      3
1 2
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