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On automorphism groups of non-associative algebras associated with doubly transitive groups - MaRDI portal

On automorphism groups of non-associative algebras associated with doubly transitive groups (Q761532)

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scientific article; zbMATH DE number 3886107
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On automorphism groups of non-associative algebras associated with doubly transitive groups
scientific article; zbMATH DE number 3886107

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    On automorphism groups of non-associative algebras associated with doubly transitive groups (English)
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    1984
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    This paper considers further the problems of the paper by \textit{K. Harada} considered in the preceding review. In particular the author considers the problem of finding a G-invariant algebraic structure for A such that \(G\cong Aut(A)\). First a reduction in the problem is given when \(char(K)=2\). Secondly he shows that \(L_ n(q)\cong Aut(A)\) for certain A when either \(q=2\) or \(q=p\) and \((n,q-1)=1\).
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    G-invariant algebraic structure
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    \(L_ n(q)\)
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