Isomorphism of modular group algebras of direct sums of torsion-complete abelian p -groups

Peter V. Danchev

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 101, page 51-58
  • ISSN: 0041-8994

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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 101 (1999): 51-58. <http://eudml.org/doc/108491>.

@article{Danchev1999,
author = {Danchev, Peter V.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {modular group algebras; isomorphisms; torsion-complete Abelian -groups; direct sums},
language = {eng},
pages = {51-58},
publisher = {Seminario Matematico of the University of Padua},
title = {Isomorphism of modular group algebras of direct sums of torsion-complete abelian $p$-groups},
url = {http://eudml.org/doc/108491},
volume = {101},
year = {1999},
}

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
PB - Seminario Matematico of the University of Padua
VL - 101
SP - 51
EP - 58
LA - eng
KW - modular group algebras; isomorphisms; torsion-complete Abelian -groups; direct sums
UR - http://eudml.org/doc/108491
ER -

References

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  1. [BRW] D. Beers - F. Richman - E.A. Walker, Group algebras of abelian groups, Rend. Sem. Mat. Univ. Padova, 69 (1983), pp. 41-50. Zbl0522.20006MR716984
  2. [D] P.V. Danchev, Commutative group algebras of σ-summable abelian groups, Proc. Amer. Math. Soc., (9) 125 (1997), pp. 2559-2564. Zbl0886.16024
  3. [DA] P.V. Danchev, Units in abelian group rings of prime characteristic, Compt. Rend. Acad. Bulg. Sci, (8) 48 (1995), pp. 5-8. Zbl0852.16024MR1406422
  4. [F] L. Fuchs, Infinite Abelian Groups, vol. I and II, Mir, Moscow (1974 and 1977). Zbl0274.20067MR457533
  5. [H] P. Hill, A classification of direct sums of closed groups, Acta Math. Acad. Sci. Hungar., 17 (1966), pp. 263-266. Zbl0144.26504MR199258
  6. [HI] P. Hill, The isomorphic refinement theorem for direct sums of closed groups, Proc. Amer. Math. Soc., 18 (1967), pp. 913-919. Zbl0168.27302MR215919
  7. [HU] P. Hill - W. Ullery, A note on a theorem of May concerning commutative group algebras, Proc. Amer. Math. Soc., (1) 110 (1990), pp. 59-63. Zbl0704.20007MR1039530
  8. [IRW] J.M. Irwin - F. Richman - E.A. Walker, Countable direct sums of torsion complete groups, Proc. Amer. Math. Soc., 17 (1966), pp. 763-766. Zbl0143.04501MR197556
  9. [KAR] G. Karpilovsky, Unit Groups of Group Rings, North-Holland, Amsterdam (1989). Zbl0687.16010MR1042757
  10. [KEEF] Patrick Keef, A class of primary abelian groups characterized by its socles, Proc. Amer. Math. Soc., (3) 115 (1992), pp. 647-653. Zbl0774.20032MR1101986
  11. [KOL] G. KolettisJr., Semi-complete primary abelian groups, Proc. Amer. Math. Soc., 11 (1960), pp. 200-205. Zbl0090.24603MR113935
  12. [M] W. May, Modular group algebras of totally projective p-primary groups, Proc. Amer. Math. Soc., (1) 76 (1979), pp. 31-34. Zbl0388.20041MR534384
  13. [MA] W. May, Modular group algebras of simply presented abelian groups, Proc. Amer. Math. Soc., (2) 104 (1988), pp. 403-409. Zbl0691.20008MR962805
  14. [MAY] W. May, The direct factor problem for modular abelian group algebras, Contemp. Math., 93 (1989), pp. 303-308. Zbl0676.16010MR1003359

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