# Infinite algebras with 3-transitive groups of weak automorphisms

Archivum Mathematicum (2001)

- Volume: 037, Issue: 4, page 245-256
- ISSN: 0044-8753

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topSzabó, László. "Infinite algebras with 3-transitive groups of weak automorphisms." Archivum Mathematicum 037.4 (2001): 245-256. <http://eudml.org/doc/248731>.

@article{Szabó2001,

abstract = {The infinite algebras with 3-transitive groups of weak automorphisms are investigated. Among others it is shown that if an infinite algebra with 3-transitive group of weak automorphisms has a nontrivial idempotent polynomial operation then either it is locally functionally complete or it is polynomially equivalent to a vector space over the two element field or it is a simple algebra that is semi-affine with respect to an elementary 2-group. In the second and third cases the group of weak automorphisms cannot be 4-transitive.},

author = {Szabó, László},

journal = {Archivum Mathematicum},

keywords = {locally functionally complete algebra; weak automorphism; locally functionally complete algebra; weak automorphism},

language = {eng},

number = {4},

pages = {245-256},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Infinite algebras with 3-transitive groups of weak automorphisms},

url = {http://eudml.org/doc/248731},

volume = {037},

year = {2001},

}

TY - JOUR

AU - Szabó, László

TI - Infinite algebras with 3-transitive groups of weak automorphisms

JO - Archivum Mathematicum

PY - 2001

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 037

IS - 4

SP - 245

EP - 256

AB - The infinite algebras with 3-transitive groups of weak automorphisms are investigated. Among others it is shown that if an infinite algebra with 3-transitive group of weak automorphisms has a nontrivial idempotent polynomial operation then either it is locally functionally complete or it is polynomially equivalent to a vector space over the two element field or it is a simple algebra that is semi-affine with respect to an elementary 2-group. In the second and third cases the group of weak automorphisms cannot be 4-transitive.

LA - eng

KW - locally functionally complete algebra; weak automorphism; locally functionally complete algebra; weak automorphism

UR - http://eudml.org/doc/248731

ER -

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