Combinatorial Methods: Free Groups, Polynomials, and Free Algebras
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer New York
2004
|
| Schriftenreihe: | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-0-387-21724-6 |
| Beschreibung: | The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century. This book is 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 (a variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras) |
| Umfang: | 1 Online-Ressource (XII, 315 p) |
| ISBN: | 9780387217246 9781441923448 |
| ISSN: | 1613-5237 |
| DOI: | 10.1007/978-0-387-21724-6 |
Internformat
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| 245 | 1 | 0 | |a Combinatorial Methods |b Free Groups, Polynomials, and Free Algebras |c by Alexander A. Mikhalev, Vladimir Shpilrain, Jie-Tai Yu |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-387-21724-6 |
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| id | DE-604.BV042418968 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:39Z |
| institution | BVB |
| isbn | 9780387217246 9781441923448 |
| issn | 1613-5237 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854385 |
| oclc_num | 864050739 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 315 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer New York |
| record_format | marc |
| series2 | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC |
| spellingShingle | Mikhalev, Alexander A. Combinatorial Methods Free Groups, Polynomials, and Free Algebras Mathematics Geometry, algebraic Algebra Algebraic Geometry Non-associative Rings and Algebras Mathematik Affine Geometrie (DE-588)4141566-8 gnd Lie-Algebra (DE-588)4130355-6 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd |
| subject_GND | (DE-588)4141566-8 (DE-588)4130355-6 (DE-588)4001161-6 (DE-588)4219556-1 |
| title | Combinatorial Methods Free Groups, Polynomials, and Free Algebras |
| title_auth | Combinatorial Methods Free Groups, Polynomials, and Free Algebras |
| title_exact_search | Combinatorial Methods Free Groups, Polynomials, and Free Algebras |
| title_full | Combinatorial Methods Free Groups, Polynomials, and Free Algebras by Alexander A. Mikhalev, Vladimir Shpilrain, Jie-Tai Yu |
| title_fullStr | Combinatorial Methods Free Groups, Polynomials, and Free Algebras by Alexander A. Mikhalev, Vladimir Shpilrain, Jie-Tai Yu |
| title_full_unstemmed | Combinatorial Methods Free Groups, Polynomials, and Free Algebras by Alexander A. Mikhalev, Vladimir Shpilrain, Jie-Tai Yu |
| title_short | Combinatorial Methods |
| title_sort | combinatorial methods free groups polynomials and free algebras |
| title_sub | Free Groups, Polynomials, and Free Algebras |
| topic | Mathematics Geometry, algebraic Algebra Algebraic Geometry Non-associative Rings and Algebras Mathematik Affine Geometrie (DE-588)4141566-8 gnd Lie-Algebra (DE-588)4130355-6 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebra Algebraic Geometry Non-associative Rings and Algebras Mathematik Affine Geometrie Lie-Algebra Algebraische Geometrie Kombinatorische Gruppentheorie |
| url | https://doi.org/10.1007/978-0-387-21724-6 |
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