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T R Berger Fixed point free automorphism groups
S B Conlon Nonabelian subgroups of primepower order of classical groups
Gagen A note on groups with the inverse Lagrange property
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abelian group acts algebraically assume Australian National University automorphism Baer subplanes complete condition conjugacy classes conjugacy set conjugate consider contained corresponding countable cyclic define denote derived described determined direct divides divisible elementary abelian elements example exists extension factor finite Fitting class fixes follows Gens give given group G group of order groups iso groups satisfying Min-n Hall plane hence homomorphism Hughes induction infinite integer irreducible isomorphic Lemma length Let G lines locally Math Mathematics matrix maximal method modules nilpotent non-trivial normal subgroup Note obtain orbit p-group p-subgroup permutation points presentation prime problem Proc projective Proof prove pure subgroup question reduced relation representations respectively result soluble groups satisfying strongly pure summand Suppose Sydney Sylow p-subgroup Table theorem transitive trivial University write Y-injector