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Representation of finite groups as short products of subsets

Published online by Cambridge University Press:  17 April 2009

Xingde Jia
Xingde Jia
Affiliation:
Department of Mathematics SouthwestTexas State University San MarcosTX 78666United States of America
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Let M be a finite quasigroup of order n. For any integer k ≥ 2, let H(k, M) be the smallest positive integer h such that there exist h subsets Ai (i = 1, 2, …, h) such that Ai … Ah = M and |Ai| = k for every i = 1, 2, …, h. Define H(k, n) = max H(k, M). It is proved in this paper that

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Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 3 , June 1994 , pp. 463 - 467
Copyright
Copyright © Australian Mathematical Society 1994

References

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