首页|Regular and p-Regular Orbits of Solvable Linear Groups,Ⅱ
Regular and p-Regular Orbits of Solvable Linear Groups,Ⅱ
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Let V be a faithful G-module for a finite group G and let p be a prime dividing|G|.An orbit vG for the action of G on V is regular if|vG|=|G:CG(v)|=|G|,and is p-regular if|vG |p=|G:CG(V)|p=|G|p.In this note,we study two questions,one by the authors and one by Isaacs,related to the p-regular orbits and regular orbits of the linear group actions.
regular orbitssolvable linear groupsgroup action
Thomas Michael Keller、Yong Yang
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Department of Mathematics,Texas State University,San Marcos,TX 78666,USA
College of Science,China Three Gorges University Three Gorges Mathematical Research Center,Yichang,Hubei 443002,China
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