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ORGANIZER;CN=Takanen Emilia:mailto:emilia.takanen@aalto.fi
ATTENDEE;ROLE=REQ-PARTICIPANT;PARTSTAT=NEEDS-ACTION;RSVP=FALSE;CN=agc-math-
 aalto@list.aalto.fi:mailto:agc-math-aalto@list.aalto.fi
ATTENDEE;ROLE=REQ-PARTICIPANT;PARTSTAT=NEEDS-ACTION;RSVP=FALSE;CN=matlait-h
 enkilosto@helsinki.fi:mailto:matlait-henkilosto@helsinki.fi
DESCRIPTION;LANGUAGE=en-US:We would like to invite you to a talk in the Aal
 to AGC (Algebra\, Geometry and Combinatorics) Seminar.\n\nThe talk is on\n
 Tue 23.6. at 14:15-15:00\nin\nM3 (M234)\, Otakaari 1.\n\nThe speaker is\nG
 erald Williams (University of Essex)\ngiving the talk\nCyclic presentation
 s of groups\, knot groups\, LOG groups\, and 3-dimensional manifolds\nAbst
 ract: A cyclic presentation of a group is a group presentation with an equ
 al number of generators and defining relations that admits a cyclic symmet
 ry\; the group it defines is called a cyclically presented group. Prominen
 t examples include Fibonacci groups and Sieradski groups. Many 3-dimension
 al manifolds\, such as the Brieskorn manifolds have cyclically presented f
 undamental group.\nLabelled Oriented Graph (LOG) groups are a wide class o
 f groups that contains all knot and link groups\, high dimensional knot gr
 oups\, and Artin's braid groups. They are defined in terms of a Wirtinger-
 like presentation formed from the LOG.\nThe abelianisation (the largest co
 mmutative quotient) of a cyclically presented group is determined by the S
 mith Normal form of a circulant matrix associated to the presentation. In 
 an ongoing programme of research with Noferini we develop tools for calcul
 ating these Smith forms. In this talk I will discuss some of these results
  and how they can be used to classify cyclically presented groups that are
  LOG groups and to calculate the homology of the 3-dimensional Brieskorn m
 anifolds.\nThe webpage of the seminar is at\nmath.aalto.fi/en/research/dis
 crete/seminars/agc/<https://math.aalto.fi/en/research/discrete/seminars/ag
 c/>\nand we have a mailing list at\nhttps://list.aalto.fi/mailman/listinfo
 /agc-math-aalto\n\n
UID:040000008200E00074C5B7101A82E008000000002496F90DA8FFDC01000000000000000
 010000000F75A825BD5EB09469D0D9A56A9A0B6B8
SUMMARY;LANGUAGE=en-US:[Aalto AGC Seminar] Gerald Williams (University of E
 ssex) | Cyclic presentations of groups\, knot groups\, LOG groups\, and 3-
 dimensional manifolds | Mon 23.6. at 14:15
DTSTART;TZID=FLE Standard Time:20260623T141500
DTEND;TZID=FLE Standard Time:20260623T150000
CLASS:PUBLIC
PRIORITY:5
DTSTAMP:20260619T045657Z
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