On the fixed points of sylow subgroups of transitive permutation groups: Dedicated to George Szekeres on his 65th Birthday

Marcel Herzog, Cheryl E. Praeger

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be a transitive permutation group on a set ft of n points, and let P be a Sylow p-subgroup of G for some prime p dividing | G |. If P has I long orbits and/fixed points in Ω, then it is shown that where ip(n) = p- rp(n), rp(n) denoting the residue of n modulo p. In addition, groups for which/attains the upper bound are classified.

Original languageEnglish
Pages (from-to)428-437
Number of pages10
JournalJournal of the Australian Mathematical Society
Volume21
Issue number4
DOIs
StatePublished - Jun 1976
Externally publishedYes

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