infinite group

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infinite group

[′in·fə·nit ′grüp]
(mathematics)
A group that contains an infinite number of distinct elements.
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In case of other infinite groups this strategy is not well-defined.
For any positive integer k [greater than or equal to] 3, there exist infinite group positive integers
During the Fourth International Conference on Number Theory and the Smarandache Problems, Professor Zhang Wenpeng asked us to study such a problem: For any positive integer k, whether there exist infinite group positive integers ([m.
The main purpose of this paper is using the elementary method to prove that for each k [greater than or equal to] 4, there exist infinite group positive integers ([m.
For example, Jozsef Sandor  proved that for any positive integer k [greater than or equal to] 2, there exist infinite group positive integers ([m.
In this paper, we using the elementary method to study this problem, and prove that for any integer n [greater than or equal to] 1, the inequality has infinite group positive integer solutions ([x.

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