A First Course in Abstract Algebra

By J. Rotman. 1995

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Clique Gossiping (2017, background): “From [22] we know that an arbitrary permutation from { 1 , . . . , d } to { 1 , . . . , d } can be generated by d − 1 swapping permutations π 1 , . . . , π d − 1 .”
Introduction to Modern Cryptography, Second Edition (2014, unknown): “) Relatively gentle introductions to abstract algebra and group theory that go well beyond what we have space for here are available in the books by Fraleigh [67] and Herstein [89]; the interested reader will have no trouble finding more advanced algebra texts if they are so inclined.”
A Generalized Unsharp Masking Algorithm (2011, methodology): “We present the log-ratio and the tangent operations from a vector space point of view [ 29 ].”