Fixed point free elements of prime order - School of Maths and Stats ...

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Fein-Kantor-Schacher examplesAGL(1, p 2 ), for p a Mersenne prime, acting on the set of p(p + 1)lines of the affine plane AG(2, p).All elements of order 2 and p fix a line so action is elusive.
Page 1 and 2: Fixed point free elements of prime
Page 6: How many?Let n = |Ω| > 1,G a trans
Page 9 and 10: How many? IIFulman-Guralnick (2003)
Page 11 and 12: What are they?Fein-Kantor-Schacher
Page 13: Elusive groupsWe say that a transit
Page 16 and 17: Elusive groupsWe say that a transit
Page 18 and 19: A question of MarušičMarušič (1
Page 20 and 21: A question of MarušičMarušič (1
Page 22 and 23: Nice representationsBiggs 197300 11
Page 24 and 25: 2-closuresThe 2-closure G (2) of G
Page 30 and 31: Polycirculant conjectureKlin (1997)
Page 32 and 33: Early resultsMarušič (1981): All
Page 34 and 35: Early resultsMarušič (1981): All
Page 38: Fein-Kantor-Schacher examplesAGL(1,
Page 42 and 43: More constructionsCameron-MG-Jones-
Page 44 and 45: General affine constructionCameron-
Page 46 and 47: FKS examples againAGL(1, p 2 ) ∼
Page 52 and 53: Some more affine examples• V = GF
Page 54 and 55: Some more affine examples• V = GF
Page 56 and 57: Hensel lifting constructionCameron-
Page 58 and 59: Priming ConstructionMG 2007Input:
Page 60 and 61: Priming ConstructionMG 2007Input:
Page 62 and 63: Priming Construction IIUsing the FK
Page 64 and 65: Primitive groups and generalisation
Page 66 and 67: Primitive groups and generalisation
Page 68 and 69: ClassificationsTheorem (MG 2003)The
Page 70 and 71: ClassificationsTheorem (MG 2003)The
Page 72 and 73: Classifications IITheorem (MG-Xu 20
Page 74 and 75: Locally quasiprimitive graphsΓ a g
Page 76 and 77: Locally quasiprimitive graphsΓ a g
Page 78 and 79: Locally quasiprimitive graphs IIThe
Page 80 and 81: Locally quasiprimitive graphs IIITh
Page 82 and 83: Locally quasiprimitive graphs IIITh
Page 84 and 85: Some more resultsDobson-Malnič-Mar
Page 86 and 87:
Some more resultsDobson-Malnič-Mar
Page 88 and 89:
Open problems and questions• Prov
Page 90 and 91:
Page 92 and 93:
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Fixed point free elements of prime order - School of Maths and Stats ...

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