Browsing Faculty of Mathematics and Natural Sciences by Journals "Journal of Algebra"
Now showing items 1-3 of 3
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Automorphism groups of pseudo H-type algebras
(Journal article; Peer reviewed, 2021)In the present paper we determine the group of automorphisms of pseudo H-type Lie algebras, that are two step nilpotent Lie algebras closely related to the Clifford algebras Cl(Rr,s). -
On properties of translation groups in the affine general linear group with applications to cryptography
(Journal article; Peer reviewed, 2021)The affine general linear group acting on a vector space over a prime field is a well-understood mathematical object. Its elementary abelian regular subgroups have recently drawn attention in applied mathematics thanks to ... -
Probabilistic analysis on Macaulay matrices over finite fields and complexity of constructing Gröbner bases
(Journal article; Peer reviewed, 2021)Gröbner basis methods are used to solve systems of polynomial equations over finite fields, but their complexity is poorly understood. In this work an upper bound on the time complexity of constructing a Gröbner basis ...