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Trivial diameter bound for a finite group
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Mathematics
Area of mathematics
Geometry and topology
Geometric group theory
Cayley graph
Diameter of a finite group with respect to a generating set
2026-10-03
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A
connected
Cayley graph
on
a
finite group
G
has
∣
G
∣
vertices
, and
a
shortest path repeats no
vertex
. Therefore
diam
S
(
G
)
≤
∣
G
∣
−
1.
(1)
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(7)
Diameter of a finite group with respect to a generating set
Cayley graph
Geometric group theory
Geometry and topology
Area of mathematics
Mathematics
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