Lemma 2.2.
Assuming that:
γ
∈
G
^
Then
𝔼
x
∈
G
γ
(
x
)
=
{
1
if
γ
=
1
0
otherwise
,
and for all
x
∈
G
,
∑
γ
∈
G
^
γ
(
x
)
=
{
|
G
^
|
if
x
=
0
0
otherwise
.