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Isomorphic modular group Algebras of semi-complete primary Abelian groups

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Abstract

Suppose G is a semi-complete abelian p-group andFGcong FH as commutative unitary F-algebras of characteristicp for any fixed group H. Then, it is shown that, Gcong H.This improves a result of the author proved in the Proceedings ofthe American Math. Society (2002) and also completely solves by ananother method a long-standing problem of W. May posed in the sameProceedings (1979).

참고문헌 (11)

  1. "and E. Walker paper Groupalgebras of abelian groups jour Rend. Sem. Mat. Univ. Padova vol69 1983 pages 41--50"
  2. "paper Commutative group algebrasof cardinality aleph_1", 125(4), pp.589~ (2002)
  3. "Commutative group algebras of directsums of $sigma$-summable abelian", 45, pp.1~15 (2003)
  4. "Invariances in commutative andnoncommutative group algebras", 54, pp.5~8 (2001)
  5. "Isomorphism of commutative groupalgebras of closed $p$-groups and $p$-local algebraically compact" (1937)
  6. "Isomorphism of commutative group algebras of mixed splitting groupsof 101", 101, pp.51~58
  7. "The splitting problem and the directfactor problem in modular abelian group algebras", 15(3-4), pp.217~226 (2000)
  8. "Units in abelian group rings of prime", 48(8), pp.5~8
  9. "and E. Walker paperCountable direct sums of torsion complete groups jour Proc. Amer.Math. Soc. vol 17", pp.763~
  10. "W. May paper Modular group algebras of totallyprojective $p$-primary groups jour Proc. Amer. Math. Soc. vol76 1979 pages no. 1", pp.31~
  11. "The direct factor problem for modularabelian group algebras jour Contemp. Math. vol93 1989pages 303--308"

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