AbstractWe investigate the multiplicative loops of finite semifields. We show that the group generated by the left and right multiplication maps contains the special linear group. This result solves a BCC18 problem of A. Drápal. Moreover, we study the question of whether the big Mathieu groups can occur as multiplication groups of loops
summary:A family of loops is studied, which arises with its binary operation in a natural way from s...
AbstractFor a loop Q denote by MltQ the permutation group generated by translations x↦xa and x↦ax, a...
AbstractFor a loop Q denote by MltQ the permutation group generated by translations x↦xa and x↦ax, a...
AbstractWe investigate the multiplicative loops of finite semifields. We show that the group generat...
This paper is a relatively short survey the aim of which is to present the theory of semifields an...
The multiplicative loops of Jha-Johnson semifields are non-automorphic finite loops whose left and r...
The multiplicative loops of Jha-Johnson semifields are non-automorphic finite loops whose left and r...
This note is concerned with the multiplicative loop $L$ of a finite quasifield or semifield, and th...
This note is concerned with the multiplicative loop $L$ of a finite quasifield or semifield, and th...
summary:Multiplication groups of (finite) loops with commuting inner permutations are investigated. ...
summary:Let $G$ be a finite group and $C_2$ the cyclic group of order 2. Consider the 8 multiplicati...
summary:Multiplication groups of (finite) loops with commuting inner permutations are investigated. ...
summary:Let $G$ be a finite group and $C_2$ the cyclic group of order 2. Consider the 8 multiplicati...
AbstractLet F be a free group of a finite rank. We construct a commutative loop Q(·) such that the p...
summary:A family of loops is studied, which arises with its binary operation in a natural way from s...
summary:A family of loops is studied, which arises with its binary operation in a natural way from s...
AbstractFor a loop Q denote by MltQ the permutation group generated by translations x↦xa and x↦ax, a...
AbstractFor a loop Q denote by MltQ the permutation group generated by translations x↦xa and x↦ax, a...
AbstractWe investigate the multiplicative loops of finite semifields. We show that the group generat...
This paper is a relatively short survey the aim of which is to present the theory of semifields an...
The multiplicative loops of Jha-Johnson semifields are non-automorphic finite loops whose left and r...
The multiplicative loops of Jha-Johnson semifields are non-automorphic finite loops whose left and r...
This note is concerned with the multiplicative loop $L$ of a finite quasifield or semifield, and th...
This note is concerned with the multiplicative loop $L$ of a finite quasifield or semifield, and th...
summary:Multiplication groups of (finite) loops with commuting inner permutations are investigated. ...
summary:Let $G$ be a finite group and $C_2$ the cyclic group of order 2. Consider the 8 multiplicati...
summary:Multiplication groups of (finite) loops with commuting inner permutations are investigated. ...
summary:Let $G$ be a finite group and $C_2$ the cyclic group of order 2. Consider the 8 multiplicati...
AbstractLet F be a free group of a finite rank. We construct a commutative loop Q(·) such that the p...
summary:A family of loops is studied, which arises with its binary operation in a natural way from s...
summary:A family of loops is studied, which arises with its binary operation in a natural way from s...
AbstractFor a loop Q denote by MltQ the permutation group generated by translations x↦xa and x↦ax, a...
AbstractFor a loop Q denote by MltQ the permutation group generated by translations x↦xa and x↦ax, a...
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