id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5258	Alotaibi, Abdulaziz Mutlaq ; Aljamal, Khaled Mustafa	Exploring the Associated Groups of Quasi-Free Groups	2024	7	.pdf	application/pdf	3149	251	89	2020 Mathematics Subject Classifications: 16U60, 20C05, 16S34, 20E06 Key Words and Phrases: Free groups, cyclic groups, quasi-free group, free product of groups and associated groups. In this paper we show that for every group G there exists a group denoted H(G) and is called the associated group of G satisfying some important properties that as application we show that if F is a quasi-free group and G is any group, then H(F )is trivial and H(F ∗ G) ≊ H(G), where a group is termed a quasi-free group if it is a free product of cyclic groups of any order.	cache/ejpam-5258.pdf	txt/ejpam-5258.txt