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The complexity of the equivalence and equation solvability problems over meta-Abelian groups

Horváth, Gábor (2015) The complexity of the equivalence and equation solvability problems over meta-Abelian groups. J. Algebra, 433. pp. 208-230.

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Abstract

We provide polynomial time algorithms for deciding equation solvability and identity checking over groups that are semidirect products of two finite Abelian groups. Our main method is to reduce these problems to the sigma equation solvability and sigma equivalence problems over modules for commutative unital rings.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Q Science / természettudomány > QA Mathematics / matematika > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Depositing User: Dr Gábor Horváth
Date Deposited: 25 Sep 2015 11:20
Last Modified: 18 Oct 2015 23:15
URI: http://real.mtak.hu/id/eprint/28031

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