@article{RSMUP_1999__101__51_0, author = {Danchev, Peter V.}, title = {Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {51--58}, publisher = {Seminario Matematico of the University of Padua}, volume = {101}, year = {1999}, mrnumber = {1705279}, zbl = {0959.20003}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1999__101__51_0/} }
TY - JOUR AU - Danchev, Peter V. TI - Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1999 SP - 51 EP - 58 VL - 101 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1999__101__51_0/ LA - en ID - RSMUP_1999__101__51_0 ER -
%0 Journal Article %A Danchev, Peter V. %T Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups %J Rendiconti del Seminario Matematico della Università di Padova %D 1999 %P 51-58 %V 101 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1999__101__51_0/ %G en %F RSMUP_1999__101__51_0
Danchev, Peter V. Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 101 (1999), pp. 51-58. http://www.numdam.org/item/RSMUP_1999__101__51_0/
[BRW] Group algebras of abelian groups, Rend. Sem. Mat. Univ. Padova, 69 (1983), pp. 41-50. | Numdam | MR | Zbl
- - ,[D] Commutative group algebras of σ-summable abelian groups, Proc. Amer. Math. Soc., (9) 125 (1997), pp. 2559-2564. | Zbl
,[DA] Units in abelian group rings of prime characteristic, Compt. Rend. Acad. Bulg. Sci, (8) 48 (1995), pp. 5-8. | MR | Zbl
,[F] Infinite Abelian Groups, vol. I and II, Mir, Moscow (1974 and 1977). | MR
,[H] A classification of direct sums of closed groups, Acta Math. Acad. Sci. Hungar., 17 (1966), pp. 263-266. | MR | Zbl
,[HI] The isomorphic refinement theorem for direct sums of closed groups, Proc. Amer. Math. Soc., 18 (1967), pp. 913-919. | MR | Zbl
,[HU] A note on a theorem of May concerning commutative group algebras, Proc. Amer. Math. Soc., (1) 110 (1990), pp. 59-63. | MR | Zbl
- ,[IRW] Countable direct sums of torsion complete groups, Proc. Amer. Math. Soc., 17 (1966), pp. 763-766. | MR | Zbl
- - ,[KAR] Unit Groups of Group Rings, North-Holland, Amsterdam (1989). | MR | Zbl
,[KEEF] A class of primary abelian groups characterized by its socles, Proc. Amer. Math. Soc., (3) 115 (1992), pp. 647-653. | MR | Zbl
,[KOL] Semi-complete primary abelian groups, Proc. Amer. Math. Soc., 11 (1960), pp. 200-205. | MR | Zbl
,[M] Modular group algebras of totally projective p-primary groups, Proc. Amer. Math. Soc., (1) 76 (1979), pp. 31-34. | MR | Zbl
,[MA] Modular group algebras of simply presented abelian groups, Proc. Amer. Math. Soc., (2) 104 (1988), pp. 403-409. | MR | Zbl
,[MAY] The direct factor problem for modular abelian group algebras, Contemp. Math., 93 (1989), pp. 303-308. | MR | Zbl
,