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Diskretnaya Matematika, 2010, Volume 22, Issue 4, Pages 121–137
DOI: https://doi.org/10.4213/dm1123 (Mi dm1123) 		 
Complexity of multiplication in commutative group algebras over fields of prime characteristic

B. V. Chokaev
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DOI: https://doi.org/10.4213/dm1123
Abstract: The objective of this research is to study the complexity of multiplication in commutative group algebras over arbitrary fields of prime characteristic. In order to solve this problem, we suggest a method to find the structure of group algebras which allows us to use the Alder–Strassen theorem to obtain lower bounds and the Bläser theorem describing all algebras of minimal rank to obtain upper bounds.
Received: 15.04.2010
English version:
Discrete Mathematics and Applications, 2010, Volume 20, Issue 5-6, Pages 665–683
DOI: https://doi.org/10.1515/DMA.2010.041
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: B. V. Chokaev, “Complexity of multiplication in commutative group algebras over fields of prime characteristic”, Diskr. Mat., 22:4 (2010), 121–137; Discrete Math. Appl., 20:5-6 (2010), 665–683
Citation in format AMSBIB
\Bibitem{Cho10}
\by B.~V.~Chokaev
\paper Complexity of multiplication in commutative group algebras over fields of prime characteristic
\jour Diskr. Mat.
\yr 2010
\vol 22
\issue 4
\pages 121--137
\mathnet{http://mi.mathnet.ru/dm1123}
\crossref{https://doi.org/10.4213/dm1123}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2796793}
\elib{https://elibrary.ru/item.asp?id=20730365}
\transl
\jour Discrete Math. Appl.
\yr 2010
\vol 20
\issue 5-6
\pages 665--683
\crossref{https://doi.org/10.1515/DMA.2010.041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952224458}
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    		Дискретная математика
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