On the limit of the degree of primitive groups

On the fixed points of Sylow subgroups of transitive permutation groups

“…Thus H contains a p-element of degree qp, q S= f p , and it follows from a result of Manning (1911), that…”

Symmetric groups and completions of the Goldschmidt amalgams of type G1

“…By Lemma 3.2, K acts 2-transitively on W. Theorem 2 then follows from one of the above observations using well-known theorems of Jordan [5] or Manning [6].…”

“…This enables us, after having shown that K ¼ hs; x; y; ti is a 2-transitive permutation group on W, to apply results of Jordan [5] and Manning [6] to deduce that K ¼ SymðnÞ. This enables us, after having shown that K ¼ hs; x; y; ti is a 2-transitive permutation group on W, to apply results of Jordan [5] and Manning [6] to deduce that K ¼ SymðnÞ.…”