Characterization of the automorphisms having the lifting property in the category of abelianp-groups
2003 ◽
Vol 2003
(71)
◽
pp. 4511-4516
Letpbe a prime. It is shown that an automorphismαof an abelianp-groupAlifts to any abelianp-group of whichAis a homomorphic image if and only ifα=π idA, withπan invertiblep-adic integer. It is also shown that ifAis torsion group or torsion-freep-divisible group, thenidAand−idAare the only automorphisms ofAwhich possess the lifting property in the category of abelian groups.
1991 ◽
Vol 50
(2)
◽
pp. 243-247
◽
Keyword(s):
2009 ◽
Vol 80
(2)
◽
pp. 205-216
◽
Keyword(s):
Keyword(s):
1983 ◽
Vol 26
(1)
◽
pp. 1-6
Keyword(s):
2020 ◽
Vol 18
(04)
◽
pp. 2050019
2017 ◽
Vol 16
(10)
◽
pp. 1750200
◽