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- W4287323061 abstract "Let $G$ be a finite permutation group on $Omega$. An ordered sequence of elements of $Omega$, $(omega_1,dots, omega_t)$, is an irredundant base for $G$ if the pointwise stabilizer $G_{(omega_1,dots, omega_t)}$ is trivial and no point is fixed by the stabilizer of its predecessors. If all irredundant bases of $G$ have the same size we say that $G$ is an IBIS group. In this paper we show that if a primitive permutation group is IBIS, then it must be almost simple, of affine-type, or of diagonal type. Moreover we prove that a diagonal-type primitive permutation groups is IBIS if and only if it is isomorphic to $PSL(2,2^f)times PSL(2,2^f)$ for some $fgeq 2,$ in its diagonal action of degree $2^f(2^{2f}-1).$" @default.
- W4287323061 created "2022-07-25" @default.
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- W4287323061 date "2021-02-25" @default.
- W4287323061 modified "2023-09-23" @default.
- W4287323061 title "Primitive permutation IBIS groups" @default.
- W4287323061 doi "https://doi.org/10.48550/arxiv.2102.12803" @default.
- W4287323061 hasPublicationYear "2021" @default.
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