Almost All Alternating Groups are Invariably Generated by Two Elements of Prime Order
نویسندگان
چکیده
Abstract We show that for all $n\leq X$ apart from $O(X\exp (-c(\log X)^{1/2}(\log \log X)^{1/2}))$ exceptions, the alternating group $A_{n}$ is invariably generated by two elements of prime order. This answers (in a quantitative form) question Guralnick, Shareshian, and Woodroofe.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2023
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnac354