Add to ORKGBruck loops are Bol loops satisfying the automorphic inverse property. We prove a structure theorem for finite Bruck loops X, showing that X is essentially the direct product of a Bruck loop of odd order with a 2-element Bruck loop. The former class of loops is well understood. We identify the minimal obstructions to the conjecture that all finite 2-element Bruck loops are 2-loops, leaving open the question of whether such obstructions actually exist
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...
summary:A {\it K-loop\/} or {\it Bruck loop\/} is a Bol loop with the automorphic inverse property. ...
Bruck loops are Bol loops satisfying the automorphic inverse property. We prove a structure theorem ...
Bruck loops are Bol loops satisfying the automorphic inverse property. We prove a structure theorem ...
Abstract. Bruck loops are Bol loops satisfying the automorphic inverse prop-erty. We prove a structu...
AbstractThe goal of this paper is two-fold. First we provide the information needed to study Bol, Ar...
summary:In this paper we make some remarks on simple Bol loops which were motivated by questions at ...
summary:In this paper we make some remarks on simple Bol loops which were motivated by questions at ...
summary:If the left multiplication group of a loop is simple, then the loop is simple. We use this o...
summary:Given a uniquely 2-divisible group $G$, we study a commutative loop $(G,\circ)$ which arises...
summary:If the left multiplication group of a loop is simple, then the loop is simple. We use this o...
summary:This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck l...
summary:This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck l...
summary:This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck l...
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...
summary:A {\it K-loop\/} or {\it Bruck loop\/} is a Bol loop with the automorphic inverse property. ...
Bruck loops are Bol loops satisfying the automorphic inverse property. We prove a structure theorem ...
Bruck loops are Bol loops satisfying the automorphic inverse property. We prove a structure theorem ...
Abstract. Bruck loops are Bol loops satisfying the automorphic inverse prop-erty. We prove a structu...
AbstractThe goal of this paper is two-fold. First we provide the information needed to study Bol, Ar...
summary:In this paper we make some remarks on simple Bol loops which were motivated by questions at ...
summary:In this paper we make some remarks on simple Bol loops which were motivated by questions at ...
summary:If the left multiplication group of a loop is simple, then the loop is simple. We use this o...
summary:Given a uniquely 2-divisible group $G$, we study a commutative loop $(G,\circ)$ which arises...
summary:If the left multiplication group of a loop is simple, then the loop is simple. We use this o...
summary:This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck l...
summary:This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck l...
summary:This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck l...
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...
summary:A {\it K-loop\/} or {\it Bruck loop\/} is a Bol loop with the automorphic inverse property. ...
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