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Information Seminar Paper

Title

DERANGEMENTS IN PERMUTATION GROUPS

Pages

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Keywords

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Abstract

 A DERANGEMENT IS A PERMUTATION OF THE SET  W THAT LEAVES NO ELEMENT OF W FIXED. THE STUDY OF DERANGEMENTS IN PERMUTATION GROUPS HAS AN OLD AND RICH HISTORY DATING BACK TO AT LEAST THE WORK ON PIERRE DE MONTMORT IN 1708. A CLASSICAL RESULT OF JORDAN SHOWS THAT EVERY FINITE TRANSITIVE PERMUTATION GROUP CONTAINS A DERANGEMENT. TWO NATURAL QUESTIONS TO THEN INVESTIGATE ARE THE NUMBER OF DERANGEMENTS AND THE EXISTENCE OF DERANGEMENTS WITH SPECIAL PROPERTIES. IN THIS TALK I WILL SURVEY THE RESEARCH INTO THESE TWO QUESTIONS.

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    • Cite

    APA: Copy

    Giudici, Michael. (2016). DERANGEMENTS IN PERMUTATION GROUPS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/938920/en

    Vancouver: Copy

    Giudici Michael. DERANGEMENTS IN PERMUTATION GROUPS. 2016. Available from: https://sid.ir/paper/938920/en

    IEEE: Copy

    Michael Giudici, “DERANGEMENTS IN PERMUTATION GROUPS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/938920/en

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