The Commutatorgroup of a Free Product

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Authors

  • Calcutta University ,IN

DOI:

https://doi.org/10.18311/jims/1940/17238

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.