@article{RSMUP_2009__122__161_0, author = {Breaz, Simion}, title = {Commutativity {Criterions} using {Normal} {Subgroup} {Lattices}}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {161--169}, publisher = {Seminario Matematico of the University of Padua}, volume = {122}, year = {2009}, mrnumber = {2582835}, zbl = {1191.20023}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2009__122__161_0/} }
TY - JOUR AU - Breaz, Simion TI - Commutativity Criterions using Normal Subgroup Lattices JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2009 SP - 161 EP - 169 VL - 122 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2009__122__161_0/ LA - en ID - RSMUP_2009__122__161_0 ER -
%0 Journal Article %A Breaz, Simion %T Commutativity Criterions using Normal Subgroup Lattices %J Rendiconti del Seminario Matematico della Università di Padova %D 2009 %P 161-169 %V 122 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2009__122__161_0/ %G en %F RSMUP_2009__122__161_0
Breaz, Simion. Commutativity Criterions using Normal Subgroup Lattices. Rendiconti del Seminario Matematico della Università di Padova, Tome 122 (2009), pp. 161-169. http://archive.numdam.org/item/RSMUP_2009__122__161_0/
[1] Finite Rank Torsion-Free Abelian Groups and Rings, Lecture Notes in Math., 931 (Springer - Verlag, New-York, 1982). | MR | Zbl
,[2] On groups with certain lattices of normal subgroups, Arch. Math. (Basel), 47 (1986), pp. 6-11. | MR | Zbl
,[3] Every Abelian group is determined by a subgroup lattice, Stud. Sci. Math. Hung., 45 (2008), pp. 135-137. | MR | Zbl
- ,[4] Una caratterizzazione reticolare dei gruppi abeliani, Rend. Math. e. Appl., 24 (1965), pp. 1-10. | MR | Zbl
,[5] Infinite Abelian Groups, vol. I, Academic Press, New-York and London, 1970. | MR | Zbl
,[6] Power cancellation of groups and modules, Pacific J. Math., 64 (1976), pp. 387-411. | MR | Zbl
,[7] Groups with identical subgroup lattices in all powers, J. Group Theory, 7 (2004), pp. 385-402. | MR | Zbl
- ,[8] The Theory of Groups, Chelsea Publishing Company (NewYork, 1960). | MR | Zbl
,[9] Modularity of the subgroup lattice of a direct square, Arch. Math. (Basel), 46 (1986), pp. 18-19. | MR | Zbl
- ,[10] On the lattice of normal subgroups of a direct product, Pacific J. Math., 60 (1975), pp. 153-158. | MR | Zbl
,[11] Groups and Lattices, Groups St. Andrews 2001 in Oxford. Vol. II, London Math. Soc. Lecture Note Ser., 305, Cambridge Univ. Press (Cambridge, 2003), pp. 428-454. | MR | Zbl
,[12] Subgroup Lattices of Groups, de Gruyter Expositions in Mathematics 14, de Gruyter (Berlin, 1994). | MR | Zbl
,[13] Cancellation in direct sums of groups, Proc. A.M.S., 7 (1956), pp. 898-902. | MR | Zbl
,