Orthogonally additive bijections are additive
نویسندگان
چکیده
منابع مشابه
More on additive triples of bijections
We study additive properties of the set S of bijections (or permutations) {1, . . . , n} → G, thought of as a subset of Gn, where G is an arbitrary abelian group of order n. Our main result is an asymptotic for the number of solutions to π1 + π2 + π3 = f with π1, π2, π3 ∈ S, where f : {1, . . . , n} → G is an arbitary function satisfying ∑n i=1 f(i) = ∑ G. This extends recent work of Manners, M...
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ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2013
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-013-0242-6