Some isomorphism results on commutative group algebras

Автор: Danchev Peter V.

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 2 т.14, 2012 года.

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We prove certain results pertaining to some isomorphism properties of commutative modular group algebras and briefly review a paper by pointing out some obvious mistakes and essential incorrectness.

Group, ring, group algebra, isomorphism, splitting group, p-смешанная группа, p-mixed group, totally projective group.

Короткий адрес: https://sciup.org/14318377

IDR: 14318377

Список литературы Some isomorphism results on commutative group algebras

  • Danchev P. V. Isomorphism of modular group algebras of totally projective abelian groups//Commun. Algebra.-2000.-Vol. 28, № 5.-P. 2521-2531.
  • Danchev P. V. Invariants for group algebras of splitting abelian groups with simply presented components//Compt. Rend. Acad. Bulg. Sci.-2002.-Vol. 55, № 2.-P. 5-8.
  • Danchev P. V. Isomorphism of commutative group algebras of closed p-groups and p-local algebraically compact groups//Proc. Amer. Math. Soc.-2002.-Vol. 130, № 7.-P. 1937-1941.
  • Danchev P. V. A note on the isomorphic modular group algebras of abelian groups with simply presented components//Compt. Rend. Acad. Bulg. Sci.-2004.-Vol. 57, № 12.-P. 13-14.
  • Danchev P. V. Isomorphic modular group algebras of semi-complete primary abelian groups//Bull. Korean Math. Soc.-2005.-Vol. 42, № 1.-P. 53-56.
  • Danchev P. V. Invariants of quotient groups in commutative modular group algebras//Proc. Roman. Acad., Ser. A: Math.-2006.-Vol. 7, № 3.-P. 173-176.
  • Danchev P. V. Notes on the isomorphism and splitting problems for commutative modular group algebras//Cubo Math. J.-2007.-Vol. 9, № 1.-P. 39-45.
  • Danchev P. V. Isomorphism of modular group algebras of abelian groups with semi-complete $p$-primary components//Commun. Korean Math. Soc.-2007.-Vol. 22, № 2.-P. 157-161.
  • Danchev P. V. Notes on the isomorphic modular group algebras of $p$-splitting and p-mixed abelian groups//Proc. Roman. Acad., Ser. A: Math.-2008.-Vol. 9, № 1.
  • Karpilovsky G. Commutative Group Algebras.-New York: Marcel Dekker, 1983.
  • Karpilovsky G. Unit Groups of Group Rings.-Harlow: Longman Scientific & Technical, 1989.-393 p.
  • Karpilovsky G. Unit groups of commutative group algebras//Expo. Math.-1990.-Vol. 8.-P. 247-287.
  • May W. Modular group algebras of simply presented abelian groups//Proc. Amer. Math. Soc.-1988.-Vol. 104, № 2.-P. 403-409.
  • May W. L., Mollov T. Zh., Nachev N. A. Isomorphism of modular group algebras of $p$-mixed abelian groups//Commun. Algebra.-2010.-Vol. 38, № 6.-P. 1988-1999.
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