Group algebras of abelian groups

Donna Beers; Fred Richman; Elbert A. Walker

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 69, page 41-50
  • ISSN: 0041-8994

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Beers, Donna, Richman, Fred, and Walker, Elbert A.. "Group algebras of abelian groups." Rendiconti del Seminario Matematico della Università di Padova 69 (1983): 41-50. <http://eudml.org/doc/107906>.

@article{Beers1983,
author = {Beers, Donna, Richman, Fred, Walker, Elbert A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {commutative group algebras; totally projective p-groups; isomorphism problem; augmentation ideals},
language = {eng},
pages = {41-50},
publisher = {Seminario Matematico of the University of Padua},
title = {Group algebras of abelian groups},
url = {http://eudml.org/doc/107906},
volume = {69},
year = {1983},
}

TY - JOUR
AU - Beers, Donna
AU - Richman, Fred
AU - Walker, Elbert A.
TI - Group algebras of abelian groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 69
SP - 41
EP - 50
LA - eng
KW - commutative group algebras; totally projective p-groups; isomorphism problem; augmentation ideals
UR - http://eudml.org/doc/107906
ER -

References

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  1. [BERM] S.D. Berman, Group algebras of countable abelian p-groups, Publ. Math. Debrecen, 14 (1967), pp. 364-405. Zbl0281.20006MR225897
  2. [FUCHS1] L. Fuchs, Abelian Groups, vol. 2, Academic Press, New York (1973). MR349869
  3. [FUCHS2] L. Fuchs - J.M. Irwin, On pω+1-projective p-groups, Proc. London Math. Soc., 30 (1975), pp. 459-470. Zbl0324.20059
  4. [HILL] P. Hill, A classification of direct sums of closed groups, Acta Math. Acad. Sci. Hungar., 17 (1966), pp. 263-266. Zbl0144.26504MR199258
  5. [HRW] R. Hunter - F. Richman - E. Walker, Warfield Modules, Abelian Group Theory, Proc. 2nd New Mexico State Univ. Conf. (1976), Lecture Notes in Math., vol. 616, Springer-Verlag, Berlin and New York (1977), pp. 87-123. Zbl0376.13007MR506216
  6. [MAY1] W. May - Commutative group algebras, Trans. Amer. Math. Soc., 136 (1969), pp. 139-149. Zbl0182.04401MR233903
  7. [MAY2] W. May - Invariants for commutative group algebras, Ill. J. Math., 15 (1971), pp. 525-531. Zbl0215.36801MR286903
  8. [MAY3] W. May - Isomorphism of group algebras, J. Alg., 40 (1976), pp. 10-18. Zbl0329.20002MR414618
  9. [PASS] D.S. Passman, The algebraic structure of group rings, Wiley and Sons, New York (1977). Zbl0368.16003MR470211
  10. [RICH] F. Richman, Extensions of p-bounded groups, Arch. der Math., 21 (1970), pp. 449-454. Zbl0209.05701MR276333
  11. [RW] F. Richman - E.A. Walker, Valuated groups, J. Algebra, 56 (1979), pp. 145-167. Zbl0401.20049MR527162
  12. [WARF1] R.B. Warfield Jr., Invariants and a classification theorem for modules over a discrete valuation ring, preprint (1971). 
  13. [WARF2] R.B. WarfieldJr., A classification theorem for abelian p-groups, Trans. Amer. Math. Soc., 210 (1975), pp. 149-168. Zbl0324.20058MR372071

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