Add to ORKGsummary:The paper surveys the known results concerning the question: ``For what values of $n$ does there exist a nonassociative Moufang loop of order $n$?'' Proofs of the newest results for $n$ odd, and a complete resolution of the case $n$ even are also presented
AbstractWe classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic app...
summary:In a series of papers from the 1940's and 1950's, R.H. Bruck and L.J. Paige developed a pr...
Abstract. This paper considers the following question: “Which classes of Mou-fang loops have the pro...
summary:The paper surveys the known results concerning the question: ``For what values of $n$ does t...
summary:The paper surveys the known results concerning the question: ``For what values of $n$ does t...
AbstractWe show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonass...
summary:We present a computer-assisted determination of the 72 non-isomorphic, non-associative Moufa...
summary:We present a computer-assisted determination of the 72 non-isomorphic, non-associative Moufa...
summary:We present a computer-assisted determination of the 72 non-isomorphic, non-associative Moufa...
AbstractWe classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic app...
The paper continues on the characterisation of positive integers n for which all Moufang loops of or...
The Moufang identity (x · y) · (z · x) = [x · (y · z)] · x was first introduced by Ruth Moufang in...
An open problem in the theory of Moufang loops is to classify those loops which are minimally non as...
AbstractOne of the most interesting constructions of nonassociative Moufang loops is the constructio...
summary:We investigate finite Moufang loops with a unique nonidentity commutator which are not assoc...
AbstractWe classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic app...
summary:In a series of papers from the 1940's and 1950's, R.H. Bruck and L.J. Paige developed a pr...
Abstract. This paper considers the following question: “Which classes of Mou-fang loops have the pro...
summary:The paper surveys the known results concerning the question: ``For what values of $n$ does t...
summary:The paper surveys the known results concerning the question: ``For what values of $n$ does t...
AbstractWe show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonass...
summary:We present a computer-assisted determination of the 72 non-isomorphic, non-associative Moufa...
summary:We present a computer-assisted determination of the 72 non-isomorphic, non-associative Moufa...
summary:We present a computer-assisted determination of the 72 non-isomorphic, non-associative Moufa...
AbstractWe classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic app...
The paper continues on the characterisation of positive integers n for which all Moufang loops of or...
The Moufang identity (x · y) · (z · x) = [x · (y · z)] · x was first introduced by Ruth Moufang in...
An open problem in the theory of Moufang loops is to classify those loops which are minimally non as...
AbstractOne of the most interesting constructions of nonassociative Moufang loops is the constructio...
summary:We investigate finite Moufang loops with a unique nonidentity commutator which are not assoc...
AbstractWe classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic app...
summary:In a series of papers from the 1940's and 1950's, R.H. Bruck and L.J. Paige developed a pr...
Abstract. This paper considers the following question: “Which classes of Mou-fang loops have the pro...