UDC 512.5
Let
F
be a finite field of characteristic
p
.
The structures of the unit groups of group algebras over
F
of the three groups
D
24
,
S
4
and
S
L
(
2
,
ℤ
3
)
of order
24
are completely described in numerous works. We present the unit groups of the group algebras over
F
for the remaining groups of order
24
,
namely,
C
24
,
C
12
×
C
2
,
C
2
3
×
C
3
,
C
3
⋊
C
8
,
C
3
⋊
Q
8
,
D
6
×
C
4
,
C
6
⋊
C
4
,
C
3
⋊
D
8
,
C
3
×
D
8
,
C
3
×
Q
8
,
A
4
×
C
2
,
and
D
12
×
C
2
.