A note on non-metabelian A4-groups
Assume p is a prime and G is a finite p -group. We prove that if G is a non-metabelian A 4 -group, then p 6 ⩽ | G | ⩽ p 9 . Moreover, if p ⩾ 5 , then p 6 ⩽ | G | ⩽ p 8 .
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Published in | Ricerche di matematica Vol. 73; no. 4; pp. 2209 - 2216 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
01.09.2024
|
Subjects | |
Online Access | Get full text |
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Summary: | Assume
p
is a prime and
G
is a finite
p
-group. We prove that if
G
is a non-metabelian
A
4
-group, then
p
6
⩽
|
G
|
⩽
p
9
. Moreover, if
p
⩾
5
, then
p
6
⩽
|
G
|
⩽
p
8
. |
---|---|
ISSN: | 0035-5038 1827-3491 |
DOI: | 10.1007/s11587-022-00744-y |