A First Course in Group Theory
Springer Verlag, Singapore
978-981-16-6364-2 (ISBN)
Bijan Davvaz is Professor at the Department of Mathematics, Yazd University, Iran. Earlier, he served as the Head of the Department of Mathematics (1998–2002), Chairman of the Faculty of Science (2004–2006), and Vice-President for Research (2006–2008) at Yazd University, Iran. He earned his Ph.D. in Mathematics with a thesis on “Topics in Algebraic Hyperstructures” from Tarbiat Modarres University, Iran, and completed his M.Sc. in Mathematics from the University of Tehran, Iran. His areas of interest include algebra, algebraic hyperstructures, rough sets and fuzzy logic. On the editorial boards for 25 mathematical journals, Prof. Davvaz has authored 6 books and over 600 research papers, especially on algebra, fuzzy logic, algebraic hyperstructures and their applications.
Preliminaries Notions.- Symmetries of Shapes.- Binary Operations.- Cyclic Groups.- Inverse Functions and Permutations.- Group of Arithmetical Functions.- Matrix Groups.- Translation and Scaling Matrices.- Cosets of Subgroups and Lagrange’s Theorem.- Normal Subgroups and Factor Groups.- Some Special Subgroups.- Commutators and Derived Subgroups.- Maximal Subgroups.- Group Homomorphisms.- Homomorphisms and Their Properties.- Cayley’s Theorem.- Another View of Linear Groups.
Erscheinungsdatum | 22.11.2021 |
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Zusatzinfo | 79 Illustrations, color; 4 Illustrations, black and white; XV, 291 p. 83 illus., 79 illus. in color. |
Verlagsort | Singapore |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Schlagworte | Algebraic Structures • combinatorics • factor groups • Groups of Geometric Objects • group theory • homomorphisms • Lagrange’s Theorem • Normal subgroups • Number Theory • permutation groups • Representation • set theory • sylow theorems • symmetry • Wallpaper Symmetry Groups |
ISBN-10 | 981-16-6364-5 / 9811663645 |
ISBN-13 | 978-981-16-6364-2 / 9789811663642 |
Zustand | Neuware |
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