On the finite simple images of free products of finite groups

2018/04/04 by King, Carlisle S. H.
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1804.01510

Abstract

Given nontrivial finite groups A and B, not both of order 2, we prove that every finite simple group of sufficiently large rank is an image of the free product A ∗ B. To show this, we prove that every finite simple group of sufficiently large rank is generated by a pair of subgroups isomorphic to A and B. This proves a conjecture of Tamburini and Wilson.

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