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math.GR2024
Profinite groups with soluble centralisers
Pavel Shumyatsky, Anitha Thillaisundaram
We show that a profinite group, in which the centralisers of non-trivial elements are metabelian, is either virtually pro- or virtually soluble of derived length at most 4. We f…
math.GR2024
GGS-groups acting on trees of growing degrees
Rachel Skipper, Anitha Thillaisundaram
We consider analogues of Grigorchuk-Gupta-Sidki (GGS-)groups acting on trees of growing degree; the so-called growing GGS-groups. These groups are not just infinite and do not poss…
math.GR2024
The lower -series of analytic pro- groups and Hausdorff dimension
Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram
Let be a -adic analytic pro- group of dimension . We produce an approximate series which descends regularly in strata and whose terms deviate from the lower -series…