By Robert B. Warfield Jr. (auth.), David M. Arnold, Roger H. Hunter, Elbert A. Walker (eds.)
Read Online or Download Abelian Group Theory: Proceedings of the 2nd New Mexico State University Conference, Held at Las Cruces, New Mexico, December 9–12, 1976 PDF
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Extra info for Abelian Group Theory: Proceedings of the 2nd New Mexico State University Conference, Held at Las Cruces, New Mexico, December 9–12, 1976
20. A. Walker, Ulm's theorem for totally projective groups, Proc. Amer. Math. Soc. 37(1973), 387-392. 21. D.
This is a s t r e n g t h e n i n g of the result stated and p r o v e d in , but is p r o v e d by the same technique. This theory. leaves us w i t h two steps n e e d e d to complete the c l a s s i f i c a t i o n First one must show that a summand of a simply p r e s e n t e d group is W a l k e r isomorphic to a direct sum of groups of rank one. must find suitable invariants in the category Walk. to describe direct sums of rank one groups In effect, been carried out by R. O. Stanton, proceedings for details.
Theory such that their are pure subgroups is one of these quasi-maximal of torsion- Can these groups be classified together with the isomorphism subgroups? ) somewhat weaker than the p-adic integers, Walker M ® Z~p) modules, quasi-maximal of finite rank Z~p) classes of finite rank torsion-free Problem 4. ) a theory is developed of quasi-maximal groups of finite does everything work if such that torsion-free G How condition which we can put on the For example, to modules the quasi-maximal Problem 3.