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Notes on extended equation solvability and identity checking for groups

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10401291" target="_blank" >RIV/00216208:11320/19:10401291 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=09pKgK-TP3" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=09pKgK-TP3</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10474-019-00924-7" target="_blank" >10.1007/s10474-019-00924-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Notes on extended equation solvability and identity checking for groups

  • Original language description

    Every finite non-nilpotent group can be extended by a term operation such that solving equations in the resulting algebra is NP-complete and checking identities is co-NP-complete. This result was firstly proven by Horvath and Szabo; the term constructed in their proof depends on the underlying group. In this paper we provide a uniform term extension that induces hard problems. In doing so we also characterize a big class of solvable, non-nilpotent groups for which extending by the commutator operation suffices.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA18-20123S" target="_blank" >GA18-20123S: Expanding the Scope of Universal Algebra</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Acta Mathematica Hungarica

  • ISSN

    0236-5294

  • e-ISSN

  • Volume of the periodical

    2019

  • Issue of the periodical within the volume

    159

  • Country of publishing house

    HU - HUNGARY

  • Number of pages

    11

  • Pages from-to

    246-256

  • UT code for WoS article

    000486228800016

  • EID of the result in the Scopus database

    2-s2.0-85063011985