000			02077nam a22003618i 4500
001			CR9781108377751
003			UkCbUP
005			20200124160345.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			170503s2018||||enk o ||1 0|eng|d
020			_a9781108377751 (ebook)
020			_z9781108421775 (hardback)
020			_z9781108432245 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA247 _b.G8287 2018
082	0	0	_a512.7/4 _223
100	1		_aGuillot, Pierre, _d1978- _eauthor.
245	1	2	_aA gentle course in local class field theory : _blocal number fields, Brauer groups, Galois cohomology / _cPierre Guillot.
264		1	_aCambridge : _bCambridge University Press, _c2018.
300			_a1 online resource (xiv, 293 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 29 Oct 2018).
520			_aThis book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker-Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology. Written for beginning graduate students and advanced undergraduates, this book can be used in the classroom or for independent study.
650		0	_aClass field theory _vTextbooks.
650		0	_aBrauer groups _vTextbooks.
650		0	_aGalois theory _vTextbooks.
650		0	_aGalois cohomology _vTextbooks.
776	0	8	_iPrint version: _z9781108421775
856	4	0	_uhttps://doi.org/10.1017/9781108377751
999			_c523897 _d523895