We present a number of results concerning fully invariant subgroups of -summable groups.
Mots clés : $n$-summable groups, fully invariant subgroups, quotients, $\sigma $-summable groups.
@article{AMBP_2011__18_2_245_0, author = {Danchev, Peter}, title = {Fully {Invariant} {Subgroups} of $n${-Summable} {Primary} {Abelian} {Groups}}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {245--250}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {18}, number = {2}, year = {2011}, doi = {10.5802/ambp.298}, zbl = {1238.20065}, mrnumber = {2896488}, language = {en}, url = {http://www.numdam.org/articles/10.5802/ambp.298/} }
TY - JOUR AU - Danchev, Peter 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 - http://www.numdam.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 Danchev, Peter %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 http://www.numdam.org/articles/10.5802/ambp.298/ %R 10.5802/ambp.298 %G en %F AMBP_2011__18_2_245_0
Danchev, Peter. Fully Invariant Subgroups of $n$-Summable Primary Abelian Groups. Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 2, pp. 245-250. doi : 10.5802/ambp.298. http://www.numdam.org/articles/10.5802/ambp.298/
[1] Commutative group algebras of summable -groups, Commun. Algebra, Volume 35 (2007), pp. 1275-1289 | DOI | MR | Zbl
[2] Notes on -large subgroups of primary abelian groups and free valuated vector spaces, Bull. Allahabad Math. Soc., Volume 23 (2008), pp. 149-154 | MR | Zbl
[3] On -large subgroups of -summable -groups, SUT J. Math., Volume 44 (2008), pp. 33-37 | MR | Zbl
[4] On some fully invariant subgroups of summable groups, Ann. Math. Blaise Pascal, Volume 15 (2008), pp. 147-152 | DOI | Numdam | MR | Zbl
[5] On -large subgroups of summable -groups, Algebra Colloq., Volume 16 (2009), pp. 649-652 | MR | Zbl
[6] Generalized Wallace theorems, Math. Scand., Volume 104 (2009), pp. 33-50 | MR | Zbl
[7] -Summable valuated -socles and primary abelian groups, Commun. Algebra, Volume 38 (2010), pp. 3137-3153 | DOI | MR | Zbl
[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 | MR | Zbl
[10] On fully invariant subgroups of primary abelian groups, Mich. Math. J., Volume 22 (1975), pp. 281-284 | MR | Zbl
[11] -large subgroups of -groups, Pac. J. Math., Volume 75 (1978), pp. 477-485 | MR | Zbl
[12] Extensions of totally projective groups, Proc. Amer. Math. Soc., Volume 64 (1977), pp. 35-38 | DOI | MR | Zbl
[13] Homology and direct sums of countable abelian groups, Math. Z., Volume 101 (1967), pp. 182-212 | DOI | MR | Zbl
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