Large and high subgroup
Tóm tắt
It is proved that a high subgroup of a large subgroup is closed in a high subgroup of the group itself. Also a necessary and sufficient condition for a subgroup to be a pureabsolute summand is obtained.
Tài liệu tham khảo
Abdullah K M B, Eisenstadt B T, Irwin J M and Poluianov E W 1970Acta Math. Acad. Sci. Hung. 21 421
Abdullah K M B, Irwin J M and Rafiq M 1974Archiv. Math. 25 29
Fuchs L 1970Infinite abelian groups (New York: Academic Press) Vol1
Irwin J M 1961Pacific J. Math. 11 1375
Irwin J M and Walker E A 1961Pacific J. Math. 11 1363
Meggiben C 1966Michigan Math. J. 13 153
Pierce R S 1963Topics in abelian groups (Chicago: Scott Foresman and Co)