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Title Details:
Group Theory Lessons
Authors: Papistas, Athanasios
Reviewer: Metaftsis, Vasileios
Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > GROUP THEORY AND GENERALIZATIONS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ASSOCIATIVE RINGS AND ALGEBRAS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NONASSOCIATIVE RINGS AND ALGEBRAS
Keywords:
Groups
Non-associative Rings And Algebras
Description:
Abstract:
This book is intended for undergraduate students studying group theory. The zero-power groups, Chapter 9 (Free groups) and Chapter 10 (Lie algebras and groups) can be taught to graduate students. Teachers and students (undergraduate and graduate) will find in this book the necessary material for understanding concepts related to: Isomorphism theorems. Isomorphism structures. Group actions. Abelian groups. Solvable and nilpotent groups. Free group. Free Lie algebra. Construction of Lie algebra from a group.
Type: Undergraduate textbook
Creation Date: 2015
Item Details:
ISBN 978-960-603-110-6
License: http://creativecommons.org/licenses/by-nc-nd/3.0/gr
DOI http://dx.doi.org/10.57713/kallipos-933
Handle http://hdl.handle.net/11419/1171
Bibliographic Reference: Papistas, A. (2015). Group Theory Lessons [Undergraduate textbook]. Kallipos, Open Academic Editions. https://dx.doi.org/10.57713/kallipos-933
Language: Greek
Consists of:
1. ΟΜΑΔΕΣ
2. ΥΠΟΟΜΑΔΕΣ. ΚΥΚΛΙΚΕΣ ΟΜΑΔΕΣ
3. ΘΕΩΡΗΜΑΤΑ ΙΣΟΜΟΡΦΙΣΜΩΝ
4. ΔΟΜΕΣ ΙΣΟΜΟΡΦΙΣΜΩΝ
5. ΔΡΑΣΗ ΟΜΑΔΩΝ
6. ΑΒΕΛΙΑΝΕΣ ΟΜΑΔΕΣ
7. ΘΕΩΡΗΜΑ SYLOW
8. ΕΠΙΛΥΣΙΜΕΣ ΚΑΙ ΜΗΔΕΝΟΔΥΝΑΜΕΣ ΟΜΑΔΕΣ
9. ΕΛΕΥΘΕΡΗ ΟΜΑΔΑ
10. LIE ΑΛΓΕΒΡΕΣ ΚΑΙ ΟΜΑΔΕΣ
Number of pages 257
Publication Origin: Kallipos, Open Academic Editions
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