Notes on the Isomorphism and Splitting Problems for Commutative Modular Group Algebras
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Peter Danchev
pvdanchev@mail.bg
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Abstract
It is proved that the p-Splitting Group Basic Problem for arbitrary abelian groups and the Splitting Group Basic Problem for p-mixed groups are, in fact, equivalent in the commutative group algebra of characteristic p. In addition, a new scheme of obtaining the complete set of invariants for such a group algebra of a p-splitting group is given. In particular, as application, the full system of invariants for a group algebra when the group is p-splitting Warfield is established as well. This supplies own recent results in (Bol. Soc. Mat. Maxicana, 2004) and (Acta Math. Sinica, 2005).
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Published
2007-04-01
How to Cite
[1]
P. Danchev, “Notes on the Isomorphism and Splitting Problems for Commutative Modular Group Algebras”, CUBO, vol. 9, no. 1, pp. 39–45, Apr. 2007.
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