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

More documents

Recommendations

Info

Open problems and questions• Prove the polycirculant conjecture.• Prove the polycirculant conjecture for arc-transitive graphs.• Find new constructions of elusive groups.• For what degrees do elusive groups exist? (smallest degree forwhich existence is unknown is 40.)
Open problems and questions• Prove the polycirculant conjecture.• Prove the polycirculant conjecture for arc-transitive graphs.• Find new constructions of elusive groups.• For what degrees do elusive groups exist? (smallest degree forwhich existence is unknown is 40.)• Does the set of all such degrees have density 0?
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 26 and 27:
Page 28 and 29:
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 and 64: A characterisationTheorem (MG-Kelly
Page 65 and 66: Primitive groups and generalisation
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 89: 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 ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?