The Journal of the Indian Mathematical Society

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The Commutatorgroup of a Free Product


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1 Calcutta University, India
     

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In this paper, a general method is given of finding the commutatorgroup C(G) of a free product

G = A*B                    (1)

of two groups A and B having only the unit element 1 in common. The commutatorgroups C(A) and C(B) as well as the factorgroups A/C(A) and B/C(B) are supposed to be known.


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  • The Commutatorgroup of a Free Product

Abstract Views: 205  |  PDF Views: 0

Authors

F. W. Levi
Calcutta University, India

Abstract


In this paper, a general method is given of finding the commutatorgroup C(G) of a free product

G = A*B                    (1)

of two groups A and B having only the unit element 1 in common. The commutatorgroups C(A) and C(B) as well as the factorgroups A/C(A) and B/C(B) are supposed to be known.