ISBN: 9781461268857
Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permuta… Mehr…
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2012, ISBN: 9781461268857
Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1996, 360 Seiten, Publiziert: 2012-09-30T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 14 black & white tables, b… Mehr…
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ISBN: 9781461268857
Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permuta… Mehr…
2012, ISBN: 1461268850
[EAN: 9781461268857], Neubuch, [PU: Springer New York], ALGEBRAICSTRUCTURE; GROUPTHEORY; ALGEBRA; AUTOMORPHISM; CLASSIFICATION; GRAPHS; GROUPACTION, Druck auf Anfrage Neuware -Following t… Mehr…
2012
ISBN: 9781461268857
Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1996, 360 Seiten, Publiziert: 2012-09-30T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 14 black & white tables, b… Mehr…
2004, ISBN: 9781461268857
SAGE Publications, Inc, 2004-10-28. Paperback. New. New. In shrink wrap. Looks like an interesting title!, SAGE Publications, Inc, 2004-10-28, 6, Paperback / softback. New. Using basic… Mehr…
2012, ISBN: 9781461268857
Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1996, 360 Seiten, Publiziert: 2012-09-30T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 14 black & white tables, b… Mehr…
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Detailangaben zum Buch - Permutation Groups: 163 (Graduate Texts in Mathematics, 163)
EAN (ISBN-13): 9781461268857
ISBN (ISBN-10): 1461268850
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2012
Herausgeber: Springer
Buch in der Datenbank seit 2014-03-31T18:07:38+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-05-14T11:07:44+02:00 (Berlin)
ISBN/EAN: 1461268850
ISBN - alternative Schreibweisen:
1-4612-6885-0, 978-1-4612-6885-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: mortimer john, john dixon, john brian, dix john, scott lively
Titel des Buches: perm, permutation groups, 163
Daten vom Verlag:
Autor/in: John D. Dixon; Brian Mortimer
Titel: Graduate Texts in Mathematics; Permutation Groups
Verlag: Springer; Springer US
348 Seiten
Erscheinungsjahr: 2012-09-30
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
64,19 € (DE)
65,99 € (AT)
71,00 CHF (CH)
POD
XII, 348 p.
BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebraische Topologie; Verstehen; Algebraic structure; Group theory; algebra; automorphism; classification; graphs; group action; K-Theory; BB; EA
1. The Basic Ideas.- 1.1. Symmetry.- 1.2. Symmetric Groups.- 1.3. Group Actions.- 1.4. Orbits and Stabilizers.- 1.5. Blocks and Primitivity.- 1.6. Permutation Representations and Normal Subgroups.- 1.7. Orbits and Fixed Points.- 1.8. Some Examples from the Early History of Permutation Groups.- 1.9. Notes.- 2. Examples and Constructions.- 2.1. Actions on k-tuples and Subsets.- 2.2. Automorphism Groups of Algebraic Structures.- 2.3. Graphs.- 2.4. Relations.- 2.5. Semidirect Products.- 2.6. Wreath Products and Imprimitive Groups.- 2.7. Primitive Wreath Products.- 2.8. Affine and Projective Groups.- 2.9. The Transitive Groups of Degree at Most 7.- 2.10. Notes.- 3. The Action of a Permutation Group.- 3.1. Introduction.- 3.2. Orbits of the Stabilizer.- 3.3. Minimal Degree and Bases.- 3.4. Frobenius Groups.- 3.5. Permutation Groups Which Contain a Regular Subgroup.- 3.6. Computing in Permutation Groups.- 3.7. Notes.- 4. The Structure of a Primitive Group.- 4.1. Introduction.- 4.2. Centralizers and Normalizers in the Symmetric Group.- 4.3. The Socle.- 4.4. Subnormal Subgroups and Primitive Groups.- 4.5. Constructions of Primitive Groups with Nonregular Socles.- 4.6. Finite Primitive Groups with Nonregular Socles.- 4.7. Primitive Groups with Regular Socles.- 4.8. Applications of the O’Nan-Scott Theorem.- 4.9. Notes.- 5. Bounds on Orders of Permutation Groups.- 5.1. Orders of Elements.- 5.2. Subgroups of Small Index in Finite Alternating and Symmetric Groups.- 5.3. The Order of a Simply Primitive Group.- 5.4. The Minimal Degree of a 2-transitive Group.- 5.5. The Alternating Group as a Section of a Permutation Group.- 5.6. Bases and Orders of 2-transitive Groups.- 5.7. The Alternating Group as a Section of a Linear Group.- 5.8. Small Subgroups of Sn.- 5.9. Notes.- 6. The MathieuGroups and Steiner Systems.- 6.1. The Mathieu Groups.- 6.2. Steiner Systems.- 6.3. The Extension of AG2 (3).- 6.4. The Mathieu Groups M 11 and M12.- 6.5. The Geometry of PG 2 (4).- 6.6. The Extension of PG 2 (4) and the Group M 22.- 6.7. The Mathieu Groups M 23 and M 24.- 6.8. The Geometry of W24.- 6.9. Notes.- 7. Multiply Transitive Groups.- 7.1. Introduction.- 7.2. Normal Subgroups.- 7.3. Limits to Multiple Transitivity.- 7.4. Jordan Groups.- 7.5. Transitive Extensions.- 7.6. Sharply k-transitive Groups.- 7.7. The Finite 2-transitive Groups.- 7.8. Notes.- 8. The Structure of the Symmetric Groups.- 8.1. The Normal Structure of Sym(?).- 8.2. The Automorphisms of Sym(?).- 8.3. Subgroups of F Sym(?).- 8.4. Subgroups of Small Index in Sym(?).- 8.5. Maximal Subgroups of the Symmetric Groups.- 8.6. Notes.- 9. Examples and Applications of Infinite Permutation Groups.- 9.1. The Construction of a Finitely Generated Infinite p-group.- 9.2. Groups Acting on Trees.- 9.3. Highly Transitive Free Subgroups of the Symmetric Group.- 9.4. Homogeneous Groups.- 9.5. Automorphisms of Relational Structures.- 9.6. The Universal Graph.- 9.7. Notes.- Appendix A. Classification of Finite Simple Groups.- Appendix B. The Primitive Permutation Groups of Degree Less than 1000.- References.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
Neuestes ähnliches Buch:
9781461207320 Permutation Groups (Dixon, John D. Mortimer, Brian)
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