A Characterization of SL(3,8) |
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2-constrained 2-subgroup of G 3-dimensional 64 and exponent abelian of order acts trivially Aut(B Aut(N automorphism of order Burnside's Theorem centralizes character theory characteristic subgroup classes of elements classes of involutions CM(K CM(P conjugate contains a C(7)-subgroup contradicts the fact cosets Tx cyclic group EkerA elementary abelian group elementary abelian subgroups elements of order fixed point free Frattini argument G is isomorphic G satisfies G-conjugate group G group of order Hall subgroup homocyclic homomorphism Hypotheses H₁ hypotheses of Theorem involution in S-L isomorphic to SL(2,8 K-invariant subgroup Lemma is proved Let G M₁ matrices maximal 2-local subgroup minimal criminal minimal normal subgroup nilpotent number of cosets O₂ order 64 point free automorphism s₂ satisfies the hypotheses semidirect product subgroup H subgroups of order Suppose Suzuki 2-group Sylow 2-subgroup T-classes Theorem 3.1 ПУ