Keywords: fully invariant subgroup, Ulm–Kaplansky invariants, admissible sequence.
@article{VTGU_2011_3_a3,
author = {S. Ya. Grinshpon and M. M. Nikolskaya},
title = {Primary $IF$-groups},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {25--31},
year = {2011},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2011_3_a3/}
}
S. Ya. Grinshpon; M. M. Nikolskaya. Primary $IF$-groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2011), pp. 25-31. http://geodesic.mathdoc.fr/item/VTGU_2011_3_a3/
[1] Beaumont R. A., Pierce R. S., “Isomorphic direct summands of abelian groups”, Math. Annalen., 153 (1964), 21–37 | DOI | MR
[2] Monk G. S., “Abelian p-groups without proper isomorphic pure dense subgroups”, Ill. J. Math., 14:1 (1970), 164–177 | MR | Zbl
[3] Goldsmith B., Ohogain S., Wallutis S., “Quasi-minimal groups”, Proc. Amer. Math. Soc., 132:8 (2004), 2185–2195 | DOI | MR | Zbl
[4] Grinshpon S. Ya., Nikolskaya (Savinkova) M. M., “IF-gruppy”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2010, no. 1(9), 5–14
[5] Benabdallah K. M., Eisenstadt B. J., Irwin J. M., Poluianov E. W., “The structure of large subgroups of primary Abelian groups”, Acta Math. Acad. Scient. Hung., 21:3–4 (1970), 421–435 | DOI | MR | Zbl
[6] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977, 416 pp.
[7] Pierce R. S., “Homomorphisms of primary Abelian groups”, Topics in Abelian Groups, Chicago, 1963, 215–310 | MR
[8] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974, 336 pp.
[9] Kulikov L. Ya., “K teorii abelevykh grupp proizvolnoi moschnosti”, Mat. sb., 16(58):2 (1945), 129–162 | MR | Zbl
[10] Grinshpon S. Ya., “O nekotorykh klassakh primarnykh abelevykh grupp pochti izomorfnykh po vpolne kharakteristicheskim podgruppam”, Izv. vuzov. Matematika, 1976, no. 2, 23–30 | MR | Zbl