A Conjecture Relating to the Isomorphism Problem for Commutative Group Algebras

1986 ◽  
pp. 247-252
Author(s):  
William Ullery
Keyword(s):  
Isomorphism Problem ◽  
Commutative Group ◽  
Group Algebras

WARFIELD INVARIANTS IN COMMUTATIVE GROUP ALGEBRAS

2008 ◽  
Vol 07 (03) ◽  
pp. 337-346 ◽  
Author(s):  
PETER V. DANCHEV
Keyword(s):  
Abelian Group ◽  
Prime Number ◽  
Group Algebra ◽  
Ordinal Number ◽  
Commutative Group ◽  
Group Algebras

Let F be a field and G an Abelian group. For every prime number q and every ordinal number α we compute only in terms of F and G the Warfield q-invariants Wα, q(VF[G]) of the group VF[G] of all normed units in the group algebra F[G] under some minimal restrictions on F and G. This expands own recent results from (Extracta Mathematicae, 2005) and (Collectanea Mathematicae, 2008).

Commutative Modular Group Algebras of Special Classes of Abelian Groups

2013 ◽  
Vol 59 (2) ◽  
pp. 415-430
Author(s):  
P.V. Danchev
Keyword(s):  
Modular Group ◽  
Abelian Groups ◽  
Classification Problem ◽  
Isomorphism Problem ◽  
Group Algebras ◽  
Direct Factor ◽  
Factor Problem ◽  
Special Classes

Abstract Structural results on the Direct Factor Problem, the Classification Problem and the Isomorphism Problem are proved for modular group algebras of certain sorts of abelian groups.

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