2 citations · 2 across the 4 of their papers we have counts for
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math.GR2020
On the spread of infinite groups
Charles Garnet Cox
A group is -generated if every non-trivial element is part of a generating pair. In 2019, Donoven and Harper showed that many Thompson groups are -generated and p…
math.GR2020
Invariable generation and the Houghton groups
Charles Garnet Cox
The Houghton groups are a family of infinite groups. In 1975 Wiegold showed that was invariably generated (IG) but was not. A natural question…
math.GR2020
Invariable generation and wreath products
Charles Garnet Cox
Invariable generation is a topic that has predominantly been studied for finite groups. In 2014, Kantor, Lubotzky, and Shalev produced extensive tools for investigating invariable…