Universal Journal of Mathematics and Mathematical Sciences
Volume 10, Issue 1, Pages 15 - 23
(June 2017) http://dx.doi.org/10.17654/UM010010015 |
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ON THE RELATIVE COMPLEMENTS OF FINITE GROUPS
Zhaoquan Wang and Jinke Hai
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Abstract: Let be a function between finite groups. Unless the function fis a homomorphism, it will fail to preserve group structure. In this paper, we consider the measures of how nearly the group structure is preserved by an arbitrary function. As an application, we study the relative complements of finite groups. |
Keywords and phrases: distributor of function, relative complement group, homomorphism. |
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