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A remark about the description of free products of groups

Published online by Cambridge University Press:  24 October 2008

John Stallengs
John Stallengs
Affiliation:
Fine Hall, Princeton, New Jersey, U.S.A.
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Extract

The free product A* B of groups A and B can be described in two ways.

We can construct the set of reduced words in A and B. Define a binary operation on by concatenating two words and performing as many reductions as possible. Prove that is a group; the difficult step is the proof of associativity. Define A * B = .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 2 , April 1966 , pp. 129 - 134
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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