| Record ID | marc_columbia/Columbia-extract-20221130-009.mrc:313219138:2847 |
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LEADER: 02847pam a22003974a 4500
001 4273227
005 20221102193114.0
008 030709t20042004nyu b 001 0 eng
010 $a 2003058951
016 7 $a968674550$2GyFmDB
020 $a0387405623 (alk. paper)
035 $a(OCoLC)ocm52631450
035 $a(NNC)4273227
035 $a4273227
040 $aDLC$cDLC$dYDX$dOHX$dOrLoB-B
042 $apcc
050 04 $aQA182.5$b.M55 2004
072 7 $aQA$2lcco
082 00 $a512/.2$222
100 1 $aMikhalev, Alexander A.,$d1965-$0http://id.loc.gov/authorities/names/n95032410
245 10 $aCombinatorial methods :$bfree groups, polynomials, and free algebras /$cAlexander A. Mikhalev, Vladimir Shpilrain, Jie-Tai Yu.
260 $aNew York :$bSpringer,$c[2004], ©2004.
300 $axii, 315 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aCMS books in mathematics = Ouvrages de mathématiques de la SMC ;$v19
504 $aIncludes bibliographical references and indexes.
505 00 $gI.$tGroups -- $g1.$tClassical Techniques of Combinatorial Group Theory -- $g2.$tTest Elements -- $g3.$tOther Special Elements -- $g4.$tAutomorphic Orbits -- $gII.$tPolynomial Algebras -- $g5.$tThe Jacobian Conjecture -- $g6.$tThe Cancellation Conjecture -- $g7.$tNagata's Problem -- $g8.$tThe Embedding Problem -- $g9.$tCoordinate Polynomials -- $g10.$tTest Polynomials -- $gIII.$tFree Nielsen - Schreier Algebras -- $g11.$tSchreier Varieties of Algebras -- $g12.$tRank Theorems and Primitive Elements -- $g13.$tGeneralized Primitive Elements -- $g14.$tFree Leibniz Algebras.
520 1 $a"This book divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze. Part II contains the main focus of the book. Here the authors show how the aforementioned techniques of combinatorial group theory found their way into affine algebraic geometry, a fascinating area of mathematics that studies polynomials and polynomial mappings. Part III illustrates how ideas from combinatorial group theory contributed to the theory of free algebras. The focus here is on Schreier varieties of algebras."--BOOK JACKET.
650 0 $aCombinatorial group theory.$0http://id.loc.gov/authorities/subjects/sh85028806
650 0 $aLie algebras.$0http://id.loc.gov/authorities/subjects/sh85076782
650 0 $aPolynomials.$0http://id.loc.gov/authorities/subjects/sh85104702
700 1 $aShpilrain, Vladimir,$d1960-$0http://id.loc.gov/authorities/names/n2002011674
700 1 $aYu, Jie-Tai.$0http://id.loc.gov/authorities/names/n2003011683
830 0 $aCMS books in mathematics ;$v19.$0http://id.loc.gov/authorities/names/n99830842
852 00 $bmat$hQA182.5$i.M55 2004g