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Isomorphism of Commutative Group Algebras over all Fields
Danchev, Peter V.
2003
Abstract
It is argued that the commutative group algebra over
each field determines up to an isomorphism its group basis for
any of the following group classes:
• Direct sums of cocyclic groups
• Splitting countable modulo torsion groups whose torsion parts
are direct sums of cyclics;
• Splitting groups whose torsion parts are separable countable
• Groups whose torsion parts are algebraically compact
• Algebraically compact groups
These give a partial positive answer to the R.Brauer’s classical
problem.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
35 (2003)
Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Source
Peter V. Danchev, "Isomorphism of Commutative Group Algebras over all Fields", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 147–164.
Languages
en
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