We present a number of results concerning fully invariant subgroups of -summable groups.
Keywords: $n$-summable groups, fully invariant subgroups, quotients, $\sigma $-summable groups.
Peter Danchev 1
@article{AMBP_2011__18_2_245_0,
author = {Peter Danchev},
title = {Fully {Invariant} {Subgroups} of $n${-Summable} {Primary} {Abelian} {Groups}},
journal = {Annales math\'ematiques Blaise Pascal},
pages = {245--250},
year = {2011},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {18},
number = {2},
doi = {10.5802/ambp.298},
mrnumber = {2896488},
zbl = {1238.20065},
language = {en},
url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.298/}
}
TY - JOUR AU - Peter Danchev TI - Fully Invariant Subgroups of $n$-Summable Primary Abelian Groups JO - Annales mathématiques Blaise Pascal PY - 2011 SP - 245 EP - 250 VL - 18 IS - 2 PB - Annales mathématiques Blaise Pascal UR - https://ambp.centre-mersenne.org/articles/10.5802/ambp.298/ DO - 10.5802/ambp.298 LA - en ID - AMBP_2011__18_2_245_0 ER -
%0 Journal Article %A Peter Danchev %T Fully Invariant Subgroups of $n$-Summable Primary Abelian Groups %J Annales mathématiques Blaise Pascal %D 2011 %P 245-250 %V 18 %N 2 %I Annales mathématiques Blaise Pascal %U https://ambp.centre-mersenne.org/articles/10.5802/ambp.298/ %R 10.5802/ambp.298 %G en %F AMBP_2011__18_2_245_0
Peter Danchev. Fully Invariant Subgroups of $n$-Summable Primary Abelian Groups. Annales mathématiques Blaise Pascal, Volume 18 (2011) no. 2, pp. 245-250. doi: 10.5802/ambp.298
[1] Commutative group algebras of summable -groups, Commun. Algebra, Volume 35 (2007), pp. 1275-1289 | DOI | Zbl | MR
[2] Notes on -large subgroups of primary abelian groups and free valuated vector spaces, Bull. Allahabad Math. Soc., Volume 23 (2008), pp. 149-154 | Zbl | MR
[3] On -large subgroups of -summable -groups, SUT J. Math., Volume 44 (2008), pp. 33-37 | Zbl | MR
[4] On some fully invariant subgroups of summable groups, Ann. Math. Blaise Pascal, Volume 15 (2008), pp. 147-152 | DOI | Zbl | MR | Numdam
[5] On -large subgroups of summable -groups, Algebra Colloq., Volume 16 (2009), pp. 649-652 | Zbl | MR
[6] Generalized Wallace theorems, Math. Scand., Volume 104 (2009), pp. 33-50 | Zbl | MR
[7] -Summable valuated -socles and primary abelian groups, Commun. Algebra, Volume 38 (2010), pp. 3137-3153 | DOI | Zbl | MR
[8] Infinite Abelian Groups I and II, Academic Press, New York and London, 1970 and 1973 | Zbl
[9] Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1954 and 1969 | Zbl | MR
[10] On fully invariant subgroups of primary abelian groups, Mich. Math. J., Volume 22 (1975), pp. 281-284 | Zbl | MR
[11] -large subgroups of -groups, Pac. J. Math., Volume 75 (1978), pp. 477-485 | Zbl | MR
[12] Extensions of totally projective groups, Proc. Amer. Math. Soc., Volume 64 (1977), pp. 35-38 | DOI | Zbl | MR
[13] Homology and direct sums of countable abelian groups, Math. Z., Volume 101 (1967), pp. 182-212 | DOI | Zbl | MR
Cited by Sources:
