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On exotic saturated fusion systems

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Abstract

In this paper, we prove that a product F 1 × F 2 of saturated fusion systems is exotic if and only if at least one of the factors is exotic. This result provides a method to construct new exotic fusion systems by known exotic fusion systems. We also investigate central products of saturated fusion systems.

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Correspondence to Jun Liao.

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Supported by National Natural Science Foundation of China (Grant Nos. 11371124, 11401186 and 13101193)

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Liao, J. On exotic saturated fusion systems. Acta. Math. Sin.-English Ser. 32, 457–462 (2016). https://doi.org/10.1007/s10114-016-5032-3

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  • DOI: https://doi.org/10.1007/s10114-016-5032-3

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