Geodesic
On Automorphism Groups of Non-associative Boolean Rings
Publications de l'Institut Mathématique, _N_S_41 (1987) no. 55, p. 49 .

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The present paper is concerned with the study of $\Aut(B(n))$ the automorphism group of a non-associative Boolean rings $B(n)$, where $\left$ is a free 2-group on n generators $\{x_i\}$ $i=1,\dots,n$, subject with $X_i\circ X_j=X_i+X_j$ for $i\neq j$. It is shown that for $n$ even, Aut$(B(n))=S_{n+1}$ and for $n$ odd, Aut$(B(n))=S_n$. An example of a non-associative Boolean ring $R$ of order 8 is provided which shows that in general Aut$(R)$ is not a symmetric group.
Classification : 17A36 
@article{PIM_1987_N_S_41_55_a5,
     author = {Sin-Min Lee},
     title = {On {Automorphism} {Groups} of {Non-associative} {Boolean} {Rings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {49 },
     publisher = {mathdoc},
     volume = {_N_S_41},
     number = {55},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1987_N_S_41_55_a5/}
}
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Sin-Min Lee. On Automorphism Groups of Non-associative Boolean Rings. Publications de l'Institut Mathématique, _N_S_41 (1987) no. 55, p. 49 . http://geodesic.mathdoc.fr/item/PIM_1987_N_S_41_55_a5/