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Symmetrized relator set
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Mathematics
Area of mathematics
Geometry and topology
Geometric group theory
Group presentation
2026-10-05
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A
set
of
relator
words
is symmetrized if it includes their inverses and
cyclic permutations
. Symmetrizing
a
finite set
remains finite, preserves each
relator
'
s
length
and
presents
the same
group
. It permits
a
matching
relator
segment to be taken anywhere on either
orientation
of
a
cell
boundary.
Ancestors
(6)
Group presentation
Geometric group theory
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2017
/
iii
/
Paper 133
/
4
/
a
/
Solution
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