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- W4308354304 abstract "Abstract We study a certain family of simple fusion systems over finite 3-groups, ones that involve Todd modules of the Mathieu groups <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mn>2</m:mn> <m:mo></m:mo> <m:msub> <m:mi>M</m:mi> <m:mn>12</m:mn> </m:msub> </m:mrow> </m:math> 2M_{12} , <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi>M</m:mi> <m:mn>11</m:mn> </m:msub> </m:math> M_{11} , and <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:msub> <m:mi>A</m:mi> <m:mn>6</m:mn> </m:msub> <m:mo>=</m:mo> <m:mrow> <m:msup> <m:mi>O</m:mi> <m:mn>2</m:mn> </m:msup> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:msub> <m:mi>M</m:mi> <m:mn>10</m:mn> </m:msub> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:mrow> </m:math> A_{6}=O^{2}(M_{10}) over <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi mathvariant=double-struck>F</m:mi> <m:mn>3</m:mn> </m:msub> </m:math> mathbb{F}_{3} , and show that they are all isomorphic to the 3-fusion systems of almost simple groups. As one consequence, we give new 3-local characterizations of Conway’s sporadic simple groups." @default.
- W4308354304 created "2022-11-11" @default.
- W4308354304 creator A5090070078 @default.
- W4308354304 date "2022-11-23" @default.
- W4308354304 modified "2023-09-30" @default.
- W4308354304 title "Fusion systems realizing certain Todd modules" @default.
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- W4308354304 doi "https://doi.org/10.1515/jgth-2022-0074" @default.
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