Factoring Groups into Subsets (Lecture Notes in Pure and by Sandor Szabo,Arthur D. Sands

By Sandor Szabo,Arthur D. Sands

Decomposing an abelian team right into a direct sum of its subsets results in effects that may be utilized to various components, similar to quantity thought, geometry of tilings, coding concept, cryptography, graph concept, and Fourier research. Focusing almost always on cyclic teams, Factoring teams into Subsets explores the factorization idea of abelian teams.

The e-book first exhibits find out how to build new factorizations from outdated ones. The authors then talk about nonperiodic and periodic factorizations, quasiperiodicity, and the factoring of periodic subsets. additionally they research how tiling performs a tremendous position in quantity concept. the subsequent numerous chapters disguise factorizations of countless abelian teams; combinatorics, corresponding to Ramsey numbers, Latin squares, and intricate Hadamard matrices; and connections with codes, together with variable size codes, mistakes correcting codes, and integer codes. the ultimate bankruptcy offers with numerous classical difficulties of Fuchs.

Encompassing a number of the major parts of the factorization concept, this booklet explores difficulties during which the underlying factored staff is cyclic.

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