by W. B. V. Kandasamy, F. Smarandache, M. K. Chetry
Publisher: arXiv 2010
Number of pages: 240
This book defines new classes of groupoids, like matrix groupoid, polynomial groupoid, interval groupoid, and polynomial groupoid. An interesting feature of this book is that introduces 77 new definitions substantiated and described by 426 examples and 150 theorems.
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by E. Lee Lady - University of Hawaii
Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.
by Christopher Cooper - Macquarie University
This is a first course on group theory suitable to a third year student. It motivates group theory with many illustrative examples such as shuffling of cards and permutation puzzles. There's an elementary introduction to representation theory.
by Dave Witte Morris - arXiv
This revised version of a book in progress on arithmetic groups and locally symmetric spaces contains several additional chapters, including the proofs of three major theorems of G. A. Margulis (superrigidity, arithmeticity, and normal subgroups).
by Michael Ruzhansky, Ville Turunen - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.