2 papers
math.GR2007
3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian
A. Abdollahi, A. Faghihi, A. Mohammadi Hassanabadi
A group in which every element commutes with its endomorphic images is called an -group. Our main result is that all 3-generator -groups are abelian. It follows that the mini…
math.GR2007
Minimal Number of Generators and Minimum Order of a Non-Abelian Group whose Elements Commute with Their Endomorphic Images
Alireza Abdollahi, A. Faghihi, A. Mohammadi Hassanabadi
A group in which every element commutes with its endomorphic images is called an -group. If is a prime number, a -group which is an -group is called a -group.…