Non-triviality of some one-relator products of three groups

作者：Chinyere Ihechukwu^*; Howie James

来源：International Journal of Algebra and Computation, 2016, 26(3): 533-550.

DOI：10.1142/S0218196716500223

• One-relator products
• pictures
• representations

In this paper we study a group G which is the quotient of a free product of three nontrivial groups by the normal closure of a single element. In particular, we show that if the relator has length at most eight, then G is nontrivial. In the case where the factors are cyclic, we prove the stronger result that at least one of the factors embeds in G.

• 出版日期2016-5