Geoff Smith, Olga Tabachnikova

Topics in Group Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time, this book reviews all the essentials. It recaps the basic definitions and results, including Lagranges Theorem, the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" demonstrates an assortment of results that can be achieved with the theoretical machinery.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer London
• Seitenzahl: 256
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781447104612
• Artikelnr.: 44052495

Inhaltsangabe

1. The Elements.- 2. Structure.- 3. Action.- 4. Entertainments.- 5. Law.- 6. Presentations.- 7. Appendix A: Fields.- 8. Appendix B: Relations and Orderings.- Further Reading.- Solutions.

Rezensionen

"The authors succeed to simplify a number of standard proofs through fresh elementary arguments. Very lucid writing provides the reader with reasons for performing every step in the proofs. ... reading the book was a delight ... To summarize: this is one of the best texts in mathematics I got my hands on." (M.Deaconescu, zbMATH 0953.20001, 2021)