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SUMMARY:Normal subgroups of non-torsion multi-EGS groups - Anitha Thillais
 undaram\, Lund
DTSTART:20250502T124500Z
DTEND:20250502T134500Z
UID:TALK226015@talks.cam.ac.uk
CONTACT:Francesco Fournier-Facio
DESCRIPTION:The family of multi-EGS groups form a natural generalisation o
 f the Grigorchuk-Gupta-Sidki groups\, which in turn are well-studied group
 s acting on rooted trees. Groups acting on rooted trees provided the first
  explicit examples of infinite finitely generated torsion groups\, and sin
 ce then have established themselves as important infinite groups\, with nu
 merous applications within group theory and beyond. Among these groups wit
 h the most interesting properties are the so-called regular branch groups.
  In this talk we investigate the normal subgroups in non-torsion regular b
 ranch multi-EGS groups\, and we show that the congruence completion of the
 se multi-EGS groups have bounded finite central width. In particular\, we 
 prove that the profinite completion of a Fabrykowski-Gupta group has width
  2. This is joint work with Benjamin Klopsch.
LOCATION:MR13
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