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Abstract
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We study the hypergeometric group in
with parameters
and
.
We give a new proof that this group is isomorphic to the free product
by
exhibiting a ping-pong table. Our table is determined by a simplicial cone in
, and
we prove that this is the unique simplicial cone (up to sign) for which our
construction produces a valid ping-pong table.
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Keywords
hypergeometric group, free product of groups, ping-pong
lemma
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Mathematical Subject Classification
Primary: 20E06
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Milestones
Received: 25 January 2022
Revised: 22 November 2022
Accepted: 17 December 2022
Published: 15 March 2024
Communicated by Jim Haglund
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