# On elongations of totally projective $p$-groups by ${p}^{\omega +n}$-projective $p$-groups

Czechoslovak Mathematical Journal (1982)

- Volume: 32, Issue: 4, page 511-515
- ISSN: 0011-4642

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topFuchs, László, and Irwin, John M.. "On elongations of totally projective $p$-groups by $p^{\omega +n}$-projective $p$-groups." Czechoslovak Mathematical Journal 32.4 (1982): 511-515. <http://eudml.org/doc/13338>.

@article{Fuchs1982,

author = {Fuchs, László, Irwin, John M.},

journal = {Czechoslovak Mathematical Journal},

keywords = {totally projective abelian -groups; Ulm invariants; projective -groups; valuated socles; nice bounded subgroup; direct sum of cyclic groups; elongations; valuated groups},

language = {eng},

number = {4},

pages = {511-515},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On elongations of totally projective $p$-groups by $p^\{\omega +n\}$-projective $p$-groups},

url = {http://eudml.org/doc/13338},

volume = {32},

year = {1982},

}

TY - JOUR

AU - Fuchs, László

AU - Irwin, John M.

TI - On elongations of totally projective $p$-groups by $p^{\omega +n}$-projective $p$-groups

JO - Czechoslovak Mathematical Journal

PY - 1982

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 32

IS - 4

SP - 511

EP - 515

LA - eng

KW - totally projective abelian -groups; Ulm invariants; projective -groups; valuated socles; nice bounded subgroup; direct sum of cyclic groups; elongations; valuated groups

UR - http://eudml.org/doc/13338

ER -

## References

top- J. Dieudonné, Sur les $p$-groupes abéliens infinis, Portugaliae Math. 11 (1952), 1 - 5. (1952) Zbl0046.02001MR0046356
- L. Fuchs, Infinite Abelian Groups, Vol. I. -II, Academic Press (1970, 1973). (1970) Zbl0209.05503MR0255673
- L. Fuchs, On ${p}^{\omega +n}$-projective abelian $p$-groups, Publicationes Math. Debrecen 23 (1976), 309-313. (1976) Zbl0374.20061MR0427496
- L. Fuchs, J. M. Irwin, On ${p}^{\omega +1}$-projective $p$-groups, Proc. London Math. Soc. 30 (1975), 459-470. (1975) Zbl0324.20059MR0374288
- P. Hill, On the classification of abelian groups, (preprint). Zbl06576804
- R. J. Nunke, Uniquely elongating modules, Symposia Math. 13 (1974), 315-330. (1974) Zbl0338.20018MR0364491

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