Titlebook: A Course on Finite Groups; H.E. Rose Textbook 2009 Springer-Verlag London 2009 Abelian group.Group representation.Group theory.Representat

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White Shame and Racial Abandonment, Orbit-stabiliser Theorem. It also describes three important particular actions: the coset action, the conjugate element action leading to centralisers and the Class Equations, and the conjugate subgroup action leading to normalisers and the ./.-theorem. .?5.5 extends the work on permutation theory

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SpringerBriefs in Digital Spacessurprising number of equivalent definitions which shows the importance of the notion. The second section discusses two ‘special’ subgroups of a group—the Frattini and Fitting subgroups; they have some remarkable properties (including being nilpotent), and extensions of the latter have proved useful

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