000 03294nam a22005175i 4500
001 978-3-642-01642-4
003 DE-He213
005 20140220084522.0
007 cr nn 008mamaa
008 100316s2010 gw | s |||| 0|eng d
020 _a9783642016424
_9978-3-642-01642-4
024 7 _a10.1007/978-3-642-01642-4
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
082 0 4 _a512.2
_223
100 1 _aRibes, Luis.
_eauthor.
245 1 0 _aProfinite Groups
_h[electronic resource] /
_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 _uhttp://dx.doi.org/10.1007/978-3-642-01642-4
912 _aZDB-2-SMA
999 _c111366
_d111366