close
1.

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
所蔵情報: loading…
2.

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
所蔵情報: loading…
3.

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
所蔵情報: loading…
4.

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
所蔵情報: loading…
5.

図書

図書
Bernhard Amberg, Silvana Franciosi, and Francesco de Giovanni
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1992  xii, 220 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
所蔵情報: loading…
目次情報: 続きを見る
Elementary Properties of Factorized Groups / 1:
The factorizer
Normalizers, indices, and chain conditions / 2:
Sylow subgroups / 3:
Existence of factorizations / 4:
Products of Nilpotent Groups
Products of abelian groups / 5:
Products of central-by-finite groups / 6:
Residually finite products of abelian-by-finite groups / 7:
The theorem of Kegel and Wielandt / 8:
The structure of a finite product of nilpotent groups / 9:
Products of Periodic Groups
An example of a non-periodic product of two periodic groups / 10:
Soluble products of periodic groups / 11:
Soluble products of groups of finite exponent / 12:
Products of Groups of Finite Rank
Rank formulae / 13:
The number of generators of a finite soluble group / 14:
Factorized groups with finite Prufer rank / 15:
Soluble products of polycyclic groups / 16:
Products of a nilpotent and polycyclic group / 17:
Soluble products of groups of finite rank / 18:
Splitting and Conjugacy Theorems
Cohomology of groups / 19:
Cohomological machinery / 20:
Splitting and conjugacy / 21:
Near splitting and near conjugacy / 22:
Triply Factorized Groups
Examples of groups with an abelian triple factorization / 23:
Lower central factors and tensor products / 24:
Groups with a nilpotent triple factorization / 25:
FC-nilpotent and FC-hypercentral groups / 26:
Groups with a supersoluble triple factorization / 27:
Trifactorized groups / 28:
Some Further Topics
The 'inside-outside' problem / 29:
The fitting length of a soluble product of nilpotent groups / 30:
Products of an abelian and an FC-group / 31:
Products of locally cyclic groups / 32:
Subnormal subgroups of factorized groups / 33:
Groups factorized by finitely many subgroups / 34:
Bibliography / 35:
Index
Elementary Properties of Factorized Groups / 1:
The factorizer
Normalizers, indices, and chain conditions / 2:
6.

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
所蔵情報: loading…
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:
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼