@article{VTGU_2013_3_a2,
author = {S. Ya. Grinshpon and I. E. Grinshpon},
title = {Torsion free abelian groups normally determined by their holomorphs},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {23--33},
year = {2013},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_3_a2/}
}
TY - JOUR AU - S. Ya. Grinshpon AU - I. E. Grinshpon TI - Torsion free abelian groups normally determined by their holomorphs JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2013 SP - 23 EP - 33 IS - 3 UR - http://geodesic.mathdoc.fr/item/VTGU_2013_3_a2/ LA - ru ID - VTGU_2013_3_a2 ER -
S. Ya. Grinshpon; I. E. Grinshpon. Torsion free abelian groups normally determined by their holomorphs. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2013), pp. 23-33. http://geodesic.mathdoc.fr/item/VTGU_2013_3_a2/
[1] Mills W. H., “On the non-isomorphism of certain holomorphs”, Trans. Amer. Math. Soc., 74:3 (1953), 428–443 | DOI | MR | Zbl
[2] Miller G. A., “On the multiple holomorph of a group”, Math. Ann., 66 (1908), 133–142 | DOI | MR
[3] Bekker I. Kh., “O golomorfakh abelevykh grupp”, Sib. matem. zhurnal, 5:6 (1964), 1228–1238 | MR | Zbl
[4] Bekker I. Kh., “O golomorfakh neredutsirovannykh abelevykh grupp”, Izv. vuzov. Matematika, 1968, no. 8, 3–8 | MR | Zbl
[5] Bekker I. Kh., “O golomorfakh abelevykh grupp bez krucheniya”, Izv. vuzov. Matematika, 1974, no. 3, 3–13 | MR
[6] Bekker I. Kh., “Abelevy gruppy s izomorfnymi golomorfami”, Izv. vuzov. Matematika, 1975, no. 3, 97–99 | MR | Zbl
[7] Bekker I. Kh., “Abelevy golomorfnye gruppy”, Vsesibirskie chteniya po matem. i mekh. Izbrannye doklady, Mezhdunar. konf., v. 1, Matematika, 1997, 43–47
[8] Bekker I. Kh., Grinshpon S. Ya., “Pochti golomorfno izomorfnye primarnye abelevy gruppy”, Gruppy i moduli, Mezhvuz. tematich. sb. nauch. trudov, 1976, 90–103
[9] Grinshpon S. Ya., “Pochti golomorfno izomorfnye abelevy gruppy”, Voprosy matematiki, Trudy TGU, 220, no. 3, 1975, 78–84
[10] Mills W. H., “Multiple holomorphs of finitely generated abelian groups”, Trans. Amer. Math. Soc., 71:3 (1950), 379–392 | DOI | MR
[11] Grinshpon I. E., “Normalnye podgruppy golomorfov abelevykh grupp i pochti golomorfnyi izomorfizm”, Fundament. i priklad. matem., 13:3 (2007), 9–16 | MR
[12] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974, 335 pp.
[13] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977, 416 pp.
[14] Krylov P. A., “Affinnye gruppy modulei i ikh avtomorfizmy”, Algebra i logika, 40:1 (2001), 60–82 | MR | Zbl
[15] Bekker I. Kh., Krylov P. A., Chekhlov A. R., “Abelevy gruppy bez krucheniya, blizkie k algebraicheski kompaktnym”, Abelevy gruppy i moduli, 1994, 3–52 | MR | Zbl