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

More documents

Recommendations

Info

Primitive groups and generalisationsLet G Sym(Ω) transitive• G is primitive if there are no nontrivial partitions of Ωpreserved by G.
Primitive groups and generalisationsLet G Sym(Ω) transitive• G is primitive if there are no nontrivial partitions of Ωpreserved by G.• G is quasiprimitive if all nontrivial normal subgroup of G aretransitive.
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 36: Fein-Kantor-Schacher examplesAGL(1,
Page 41 and 42: More constructionsCameron-MG-Jones-
Page 43 and 44: General affine constructionCameron-
Page 45 and 46: FKS examples againAGL(1, p 2 ) ∼
Page 53 and 54: Some more affine examples• V = GF
Page 55 and 56: Hensel lifting constructionCameron-
Page 57 and 58: Hensel lifting constructionCameron-
Page 59 and 60: Priming ConstructionMG 2007Input:
Page 61 and 62: Priming Construction IIUsing the FK
Page 63: A characterisationTheorem (MG-Kelly
Page 67 and 68: ClassificationsTheorem (MG 2003)The
Page 69 and 70: ClassificationsTheorem (MG 2003)The
Page 71 and 72: Classifications IITheorem (MG-Xu 20
Page 73 and 74: Locally quasiprimitive graphsΓ a g
Page 79 and 80: Locally quasiprimitive graphs IIThe
Page 81 and 82: Locally quasiprimitive graphs IIITh
Page 83 and 84: Some more resultsDobson-Malnič-Mar
Page 85 and 86: Some more resultsDobson-Malnič-Mar
Page 87 and 88: Open problems and questions• Prov
Page 93: Group Theory, Combinatorics and Com
show all

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

Create successful ePaper yourself

Delete template?

Save as template?