Journal Name:
- European Journal of Pure and Applied Mathematics
Key Words:
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Abstract (2. Language):
A subset D of a group G is a D-set if every element of G, not in D, has its inverse in D. Let
A be a non-empty subset of G. A smallest D-set of G that contains A is called a D-set generated by A,
denoted by 〈A〉. Note that 〈A〉 may not be unique. This paper characterized sets A with unique 〈A〉 and
sets whose number of generated D-sets is equal to the index minimum.
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