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1.

図書

図書
Wolfgang Woess
出版情報: Cambridge ; New York : Cambridge University Press, 2000  xi, 334 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 138
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2.

図書

図書
by Y.M. Berezansky and Y.G. Kondratiev
出版情報: Dordrecht ; Boston : Kluwer Academic, c1995  2 v. ; 25 cm
シリーズ名: Mathematical physics and applied mathematics ; v. 12
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3.

図書

図書
A.I. Kostrikin, I.R. Shafarevich (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1993  203 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 37 . Algebra ; 4
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4.

図書

図書
John Meier
出版情報: Cambridge : Cambridge University Press, 2008  xi, 231 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 73
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目次情報: 続きを見る
Preface
Cayley's Theorems / 1:
Cayley's Basic Theorem / 1.1:
Graphs / 1.2:
Symmetry Groups of Graphs / 1.3:
Orbits and Stabilizers / 1.4:
Generating Sets and Cayley Graphs / 1.5:
More Cayley Graphs / 1.6:
Symmetries of Cayley Graphs / 1.7:
Fundamental Domains and Generating Sets / 1.8:
Words and Paths / 1.9:
Groups Generated by Reflections / 2:
Groups Acting on Trees / 3:
Free Groups / 3.1:
F3 is a Subgroup of F2 / 3.2:
Free Group Homomorphisms and Group Presentations / 3.3:
Free Groups and Actions on Trees / 3.4:
The Group Z3 * Z4 / 3.5:
Free Products of Groups / 3.6:
Free Products of Finite Groups are Virtually Free / 3.7:
A Geometric View of Theorem 3.35 / 3.8:
Finite Groups Acting on Trees / 3.9:
Serre's Property FA and Infinite Groups / 3.10:
Baumslag-Solitar Groups / 4:
Words and Dehn's Word Problem / 5:
Normal Forms / 5.1:
Dehn's Word Problem / 5.2:
The Word Problem and Cayley Graphs / 5.3:
The Cayley Graph of BS(1,2) / 5.4:
A Finitely Generated, Infinite Torsion Group / 6:
Regular Languages and Normal Forms / 7:
Regular Languages and Automata / 7.1:
Not All Languages are Regular / 7.2:
Regular Word Problem? / 7.3:
A Return to Normal Forms / 7.4:
Finitely Generated Subgroups of Free Groups / 7.5:
The Lamplighter Group / 8:
The Geometry of Infinite Groups / 9:
Gromov's Corollary, aka the Word Metric / 9.1:
The Growth of Groups, I / 9.2:
Growth and Regular Languages / 9.3:
Cannon Pairs / 9.4:
Cannon's Almost Convexity / 9.5:
Thompson's Group / 10:
The Large-Scale Geometry of Groups / 11:
Changing Generators / 11.1:
The Growth of Groups, II / 11.2:
The Growth of Thompson's Group / 11.3:
The Ends of Groups / 11.4:
The Freudenthal-Hopf Theorem / 11.5:
Two-Ended Groups / 11.6:
Commensurable Groups and Quasi-Isometry / 11.7:
Bibliography
Index
Preface
Cayley's Theorems / 1:
Cayley's Basic Theorem / 1.1:
5.

図書

図書
John C. Lennox and Derek J.S. Robinson
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 2004  xvi, 342 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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6.

電子ブック

EB
Emily Riehl, Dominic Verity
出版情報:   1 online resource (xix, 759 pages)
シリーズ名: Cambridge Studies in Advanced Mathematics ; 194
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目次情報:
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