© 2017, Copyright © Taylor & Francis. We define a variety of loops called semiautomorphic, inverse property loops that generalize Moufang and Steiner loops. We first show an equivalence between a previously studied variety of loops. Next we extend several known results for Moufang and Steiner loops. That is, the commutant is a subloop and if a is in the commutant, then a2 is a Moufang element, a3 is a c-element and a6 is in the center. Finally, we give two constructions for semiautomorphic inverse property loops based on Chein’s and de Barros and Juriaans’ doubling constructions
summary:We show that in a weak commutative inverse property loop, such as a Bruck loop, if $\alpha$ ...
summary:We show that in a weak commutative inverse property loop, such as a Bruck loop, if $\alpha$ ...
We show that in a weak commutative inverse property loop, such as a Bruck loop, if α is a right [lef...
summary:We investigate loops which can be written as the semidirect product of a loop and a group, a...
We investigate loops which can be written as the semidirect product of a loop and a group, and we pr...
We investigate loops which can be written as the semidirect product of a loop and a group, and we pr...
summary:We investigate loops which can be written as the semidirect product of a loop and a group, a...
summary:We investigate loops which can be written as the semidirect product of a loop and a group, a...
By studying the holomorphic structure of automorphic inverse property quasigroups and loops[AIPQ and...
This dissertation uses the connections between loops and their associated permutation groups to stud...
This dissertation uses the connections between loops and their associated permutation groups to stud...
By studying the holomorphic structure of automorphic inverse property uasigroups and loops[AIPQ and ...
These notes accompany a series of three lectures on automorphic loops to be delivered by the author ...
These notes accompany a series of three lectures on automorphic loops to be delivered by the author ...
These notes accompany a series of three lectures on automorphic loops to be delivered by the author ...
summary:We show that in a weak commutative inverse property loop, such as a Bruck loop, if $\alpha$ ...
summary:We show that in a weak commutative inverse property loop, such as a Bruck loop, if $\alpha$ ...
We show that in a weak commutative inverse property loop, such as a Bruck loop, if α is a right [lef...
summary:We investigate loops which can be written as the semidirect product of a loop and a group, a...
We investigate loops which can be written as the semidirect product of a loop and a group, and we pr...
We investigate loops which can be written as the semidirect product of a loop and a group, and we pr...
summary:We investigate loops which can be written as the semidirect product of a loop and a group, a...
summary:We investigate loops which can be written as the semidirect product of a loop and a group, a...
By studying the holomorphic structure of automorphic inverse property quasigroups and loops[AIPQ and...
This dissertation uses the connections between loops and their associated permutation groups to stud...
This dissertation uses the connections between loops and their associated permutation groups to stud...
By studying the holomorphic structure of automorphic inverse property uasigroups and loops[AIPQ and ...
These notes accompany a series of three lectures on automorphic loops to be delivered by the author ...
These notes accompany a series of three lectures on automorphic loops to be delivered by the author ...
These notes accompany a series of three lectures on automorphic loops to be delivered by the author ...
summary:We show that in a weak commutative inverse property loop, such as a Bruck loop, if $\alpha$ ...
summary:We show that in a weak commutative inverse property loop, such as a Bruck loop, if $\alpha$ ...
We show that in a weak commutative inverse property loop, such as a Bruck loop, if α is a right [lef...