Abstract
A group G is called an I(r)-group if | ⟨ x ⟩ G : ⟨ x ⟩ | divides the product of r primes for every x ∈ G. In this article, we mainly study the properties of finite I(1)-groups and I(2)-groups. In particular, we get the possible upper bound of the order of their derived subgroup of such groups.
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2010 AMS Subject Classification:
ACKNOWLEDGMENT
The authors are very grateful to the referee who read the manuscript carefully and provided a lot of valuable suggestions and useful comments.
Notes
Communicated by P. Tiep.