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Displaying 401 – 420 of 914

On commutative loops of order $p q$ with metacyclic inner mapping group and trivial center

Přemysl Jedlička (2010)

Commentationes Mathematicae Universitatis Carolinae

Using a construction of commutative loops with metacyclic inner mapping group and trivial center described by A. Drápal, we enumerate presumably all such loops of order $p q$ , for $p$ and $q$ primes.

On congruence classes of $n$ -groups.

Ušan, Janez (1998)

Novi Sad Journal of Mathematics

On congruences and ideals of partially ordered quasigroups

Milan Demko (2008)

Czechoslovak Mathematical Journal

Some results concerning congruence relations on partially ordered quasigroups (especially, Riesz quasigroups) and ideals of partially ordered loops are presented. These results generalize the assertions which were proved by Fuchs in [5] for partially ordered groups and Riesz groups.

On cyclic hypergroups with period

L. Konguetsof, Thomas N. Vougiouklis, M. Kessoglides, St. Spartalis (1987)

Acta Universitatis Carolinae. Mathematica et Physica

On decompositions of groupoids

Marshall Saade (1972)

Časopis pro pěstování matematiky

On determination of a cyclic order

Vítězslav Novák, Miroslav Novotný (1983)

Czechoslovak Mathematical Journal

On dicyclic groups as inner mapping groups of finite loops

Emma Leppälä, Markku Niemenmaa (2016)

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be a finite group with a dicyclic subgroup $H$ . We show that if there exist $H$ -connected transversals in $G$ , then $G$ is a solvable group. We apply this result to loop theory and show that if the inner mapping group $I (Q)$ of a finite loop $Q$ is dicyclic, then $Q$ is a solvable loop. We also discuss a more general solvability criterion in the case where $I (Q)$ is a certain type of a direct product.

On dihedral 2-groups as inner mapping groups of finite commutative inverse property loops

Markku Niemenmaa (2018)

Commentationes Mathematicae Universitatis Carolinae

We show that finite commutative inverse property loops may not have nonabelian dihedral 2-groups as their inner mapping group.

On Equational Theory of Left Divisible Left Distributive Groupoids

Přemysl Jedlička (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

It is an open question whether the variety generated by the left divisible left distributive groupoids coincides with the variety generated by the left distributive left quasigroups. In this paper we prove that every left divisible left distributive groupoid with the mapping $a \mapsto a^{2}$ surjective lies in the variety generated by the left distributive left quasigroups.

On equationally compact semigroups.

W. Taylor (1972)

Semigroup forum

On extensions of cyclic orders

Ivan Chajda, Vítězslav Novák (1985)

Časopis pro pěstování matematiky

On extensions of homomorphisms and homotopies of commutative $n$ -adic groups

Antoni Chronowski (1991)

Archivum Mathematicum

On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^{5}$

Markku Niemenmaa (2020)

Commentationes Mathematicae Universitatis Carolinae

We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order $p^{5}$ are centrally nilpotent of class at most two.

On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^{4}$

Markku Niemenmaa (2010)

Commentationes Mathematicae Universitatis Carolinae

We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order $p^{4}$ are centrally nilpotent of class at most two.

On finite commutative loops which are centrally nilpotent

Emma Leppälä, Markku Niemenmaa (2015)

Commentationes Mathematicae Universitatis Carolinae

Let $Q$ be a finite commutative loop and let the inner mapping group $I (Q) ≅ C_{p^{n}} \times C_{p^{n}}$ , where $p$ is an odd prime number and $n \geq 1$ . We show that $Q$ is centrally nilpotent of class two.

On finite loops and their inner mapping groups

Markku Niemenmaa (2004)

Commentationes Mathematicae Universitatis Carolinae

In this paper we consider finite loops and discuss the following problem: Which groups are (are not) isomorphic to inner mapping groups of loops? We recall some known results on this problem and as a new result we show that direct products of dihedral 2-groups and nontrivial cyclic groups of odd order are not isomorphic to inner mapping groups of finite loops.

On finite loops whose inner mapping groups have small orders

Markku Niemenmaa (1996)

Commentationes Mathematicae Universitatis Carolinae

We investigate the situation that the inner mapping group of a loop is of order which is a product of two small prime numbers and we show that then the loop is soluble.

Currently displaying 401 – 420 of 914

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Displaying 401 – 420 of 914

On commutative loops of order $p q$ with metacyclic inner mapping group and trivial center

On congruence classes of $n$ -groups.

On congruences and ideals of partially ordered quasigroups

On cyclic hypergroups with period

On decompositions of groupoids

On determination of a cyclic order

On dicyclic groups as inner mapping groups of finite loops

On dihedral 2-groups as inner mapping groups of finite commutative inverse property loops

On Equational Theory of Left Divisible Left Distributive Groupoids

On equationally compact semigroups.

On extensions of cyclic orders

On extensions of homomorphisms and homotopies of commutative $n$ -adic groups

On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^{5}$

On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^{4}$

On finite commutative loops which are centrally nilpotent

On finite loops and their inner mapping groups

On finite loops whose inner mapping groups have small orders

On Finite Multiquasigroups

On Finite-element Simple Extensions of a Countable Collection of Countable Groupoids

On Free Commutative Groupoids

Currently displaying 401 – 420 of 914