Fixed point free elements of prime order - School of Maths and Stats ...
Fixed point free elements of prime order - School of Maths and Stats ...
Fixed point free elements of prime order - School of Maths and Stats ...
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General affine constructionCameron-MG-Jones-Kantor-Klin-Marušič-Nowitz (2002)• V a vector space over a field <strong>of</strong> characteristic p,• G 1 GL(V ) with <strong>order</strong> <strong>prime</strong> to p,• W a subspace <strong>of</strong> V ,• H 1 < G 1 fixes W setwise.The action <strong>of</strong> V ⋊ G 1 on the set <strong>of</strong> right cosets <strong>of</strong> W ⋊ H 1 iselusive if <strong>and</strong> only if1 the images <strong>of</strong> W under G 1 cover V , <strong>and</strong>2 every conjugacy class <strong>of</strong> <strong>elements</strong> <strong>of</strong> <strong>prime</strong> <strong>order</strong> in G 1 meetsH 1 .
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