| Title:
|
Butler groups of infinite rank (English) |
| Author:
|
Bican, Ladislav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
67-79 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03C50 |
| MSC:
|
20K20 |
| MSC:
|
20K27 |
| idZBL:
|
Zbl 0812.20032 |
| idMR:
|
MR1257937 |
| DOI:
|
10.21136/CMJ.1994.128447 |
| . |
| Date available:
|
2009-09-24T09:36:24Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128447 |
| . |
| Reference:
|
[AH] U. Albrecht, P. Hill: Butler groups of infinite rank and axiom 3.Czech. Math. J. 37 (1987), 293–309. MR 0882600 |
| Reference:
|
[B1] L. Bican: Splitting in abelian groups.Czech. Math. J. 28 (1978), 356–364. Zbl 0421.20022, MR 0480778 |
| Reference:
|
[B2] L. Bican: Purely finitely generated groups.Comment. Math. Univ. Carolinae 21 (1980), 209–218. MR 0580678 |
| Reference:
|
[B3] L. Bican: Pure subgroups of Butler groups.Proceedings of the Udine Conference April 1984, R. Göbel, at al. CISM Courses and Lectures no. 287 (eds.), Springer Verlag, Wien-New York, pp. 203–213. Zbl 0569.20045, MR 0789818 |
| Reference:
|
[B4] L. Bican: On a class of locally Butler groups.Comment. Math. Univ. Carolinae 32 (1991), 597–600. Zbl 0748.20029, MR 1159805 |
| Reference:
|
[BF1] L. Bican, L. Fuchs: On abelian groups by which balanced extensions of a rational group split.J. Pure Appl. Algebra 78 (1992), 221–238. MR 1163276, 10.1016/0022-4049(92)90106-P |
| Reference:
|
[BF2] L. Bican, L. Fuchs: Subgroups of Butler groups. To appear.. MR 1261020 |
| Reference:
|
[BS] L. Bican, L. Salce: Infinite rank Butler groups.Proc. Abelian Group Theory Conference, Honolulu, Lecture Notes in Math. vol. 1006, Springer-Verlag, 1983, pp. 171–189. MR 0722617 |
| Reference:
|
[B] M. C. R. Butler: A class of torsion-free abelian groups of finite rank.Proc. London Math. Soc. 15 (1965), 680–698. Zbl 0131.02501, MR 0218446 |
| Reference:
|
[DHR] M. Dugas, P. Hill, K. M. Rangaswamy: Infinite rank Butler groups II.Trans. Amer. Math. Soc. 320 (1990), 643–664. MR 0963246 |
| Reference:
|
[DR] M. Dugas, K. M. Rangaswamy: Infinite rank Butler groups.Trans. Amer. Math. Soc. 305 (1988), 129–142. MR 0920150, 10.1090/S0002-9947-1988-0920150-X |
| Reference:
|
[DT] M. Dugas, B. Thomé: The functor Bext under the negation of CH.Forum Math. 3 (1991), 23–33. MR 1085593, 10.1515/form.1991.3.23 |
| Reference:
|
[F1] L. Fuchs: Infinite Abelian groups, vol. I and II.Academic Press, New York, 1973 and 1977. MR 0255673 |
| Reference:
|
[F2] L. Fuchs: Infinite rank Butler groups.Preprint. |
| Reference:
|
[FMa] L. Fuchs, M. Magidor: Butler groups of arbitrary cardinality. To appear.. MR 1244670 |
| Reference:
|
[FMe] L. Fuchs, C. Metelli: Countable Butler groups.Contemporary Math. 130 (1992), 133–143. MR 1176115, 10.1090/conm/130/1176115 |
| Reference:
|
[FV] L. Fuchs, G. Viljoen: Note on the extensions of Butler groups.Bull. Austral. Math. Soc. 41 (1990), 117–122. MR 1043972, 10.1017/S0004972700017901 |
| Reference:
|
[H] W. Hodges: In singular cardinality, locally free algebras are free.Algebra Universalis 12 (1981), 205–220. Zbl 0476.03039, MR 0608664, 10.1007/BF02483879 |
| Reference:
|
[N] L. Nongxa: Homogeneous subgroups of completely decomposable groups.Arch. Comment. Math. 42 (1984), 208–213. Zbl 0528.20040, MR 0751497, 10.1007/BF01191177 |
| Reference:
|
[R] F. Richman: Butler groups, valuated vector spaces and duality.Rend. Sem. Mat. Univ. Padova 72 (1984), 13–19. Zbl 0576.20033, MR 0778329 |
| . |
