BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS
2007 ◽
Vol 03
(04)
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pp. 503-511
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Keyword(s):
In this paper, we give lower and upper bounds for the minimal size μG(r,s) of the sumset (or product set) of two finite subsets of given cardinalities r,s in a group G. Our upper bound holds for solvable groups, our lower bound for arbitrary groups. The results are expressed in terms of variants of the numerical function κG(r,s), a generalization of the Hopf–Stiefel function that, as shown in [6], exactly models μG(r,s) for G abelian.
2000 ◽
Vol 32
(01)
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pp. 244-255
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Keyword(s):
2005 ◽
Vol 70
(10)
◽
pp. 1193-1197
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Keyword(s):
2012 ◽
Vol 08
(06)
◽
pp. 1367-1386
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2000 ◽
Vol 32
(1)
◽
pp. 244-255
◽
Keyword(s):