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Complexes in Abelian Groups

Published online by Cambridge University Press:  20 November 2018

Peter Scherk
Affiliation:
University of Saskatchewan and University of Southern California
J. H. B. Kemperman
Affiliation:
Purdue University
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Let G be an abelian group of order [G] ≤ ∞. Let A = {a}, B = {b}, … denote non-empty finite complexes in G. Let [A] be the number of elements of A. Finally put

A + B = {a + b}.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1954