000			03273nam a22005055i 4500
001			u373395
003			SIRSI
005			20160812084144.0
007			cr nn 008mamaa
008			100316s2010 gw | s |||| 0|eng d
020			_a9783642016424 _9978-3-642-01642-4
040			_cMX-MeUAM
050		4	_aQA174-183
082	0	4	_a512.2 _223
100	1		_aRibes, Luis. _eauthor.
245	1	0	_aProfinite Groups _h[recurso electrónico] / _cby Luis Ribes, Pavel Zalesskii.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXIV, 483p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; _v40
505	0		_aInverse and Direct Limits -- Profinite Groups -- Free Profinite Groups -- Some Special Profinite Groups -- Discrete and Profinite Modules -- Homology and Cohomology of Profinite Groups -- Cohomological Dimension -- Normal Subgroups of Free Pro?-? Groups -- Free Constructions of Profinite Groups.
520			_aThe aim of this book is to serve both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. The book is reasonably self-contained. Profinite groups are Galois groups. As such they are of interest in algebraic number theory. Much of recent research on abstract infinite groups is related to profinite groups because residually finite groups are naturally embedded in a profinite group. In addition to basic facts about general profinite groups, the book emphasizes free constructions (particularly free profinite groups and the structure of their subgroups). Homology and cohomology is described with a minimum of prerequisites. This second edition contains three new appendices dealing with a new characterization of free profinite groups, presentations of pro-p groups and a new conceptually simpler approach to the proof of some classical subgroup theorems. Throughout the text there are additions in the form of new results, improved proofs, typographical corrections, and an enlarged bibliography. The list of open questions has been updated; comments and references have been added about those previously open problems that have been solved after the first edition appeared.
650		0	_aMathematics.
650		0	_aGroup theory.
650		0	_aTopological Groups.
650		0	_aNumber theory.
650		0	_aTopology.
650	1	4	_aMathematics.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aNumber Theory.
650	2	4	_aTopology.
700	1		_aZalesskii, Pavel. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642016417
830		0	_aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; _v40
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-01642-4
596			_a19
942			_cLIBRO_ELEC
999			_c201275 _d201275