Keywords: fully invariant subgroup, wide subgroup, Ulm-Kaplansky invariants
@article{VTGU_2010_1_a0,
author = {S. Ya. Grinshpon and M. M. Nikol'skaya (Savinkova)},
title = {$IF$-groups},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {5--14},
year = {2010},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2010_1_a0/}
}
S. Ya. Grinshpon; M. M. Nikol'skaya (Savinkova). $IF$-groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 5-14. http://geodesic.mathdoc.fr/item/VTGU_2010_1_a0/
[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., Óhógáin S., Wallutis S., “Quasi-minimal groups”, Proc. Amer. Math. Soc., 132:8 (2004), 2185–2195 | DOI | MR | Zbl
[4] Benabdallah K.M., Eisenstadt B.J., Irwin J.M., and 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
[5] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974, 336 pp.
[6] Grinshpon S.Ya., “O stroenii vpolne kharakteristicheskikh podgrupp abelevykh grupp bez krucheniya”, Abelevy gruppy i moduli, 1982, 56–92
[7] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977, 416 pp.
[8] Pierce R.S., “Homomorphisms of primary Abelian groups”, Topics in Abelian Groups, Chicago, 1963, 215–310 | MR
[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