Corollary 16.10.
Assuming that:
G
an infinite group
T
h
(
G
)
is
ℵ
0
-
categorical
(in
L
groups
)
Then
G
has finite exponent (there exists
n
∈
ℕ
such that
∀
g
∈
G
,
g
n
=
1
).