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Fusion Systems over Mp(1, 1, 1) × A-groups

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Abstract

In this paper we study the saturated fusion systems over a direct product of the extraspecial group of order p3 of exponent p and a finite abelian p-group. The result provides some new exotic fusion systems, whose unique components are isomorphic to the exotic fusion systems over \(7_ + ^{1 + 2}\) found by Ruiz and Viruel.

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Correspondence to Jun Liao, He Guo Liu or Ji Ping Zhang.

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Supported by NSFC (Grant Nos. 11131001, 11371124 and 11401186)

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Liao, J., Liu, H.G. & Zhang, J.P. Fusion Systems over Mp(1, 1, 1) × A-groups. Acta. Math. Sin.-English Ser. 35, 1311–1320 (2019). https://doi.org/10.1007/s10114-019-8358-9

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  • DOI: https://doi.org/10.1007/s10114-019-8358-9

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