Ensuring commutativity of finite groups

B. H. Neumann

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    Abstract

    Comments are made on the following question. Let m, n be positive integers and script G sign a finite group. Suppose that for all choices of a subset of cardinality m and of a subset of cardinality n in script G sign some member of the first commutes with some member of the second. Under what conditions on m, n is the group abelian?

    Original languageEnglish
    Pages (from-to)233-234
    Number of pages2
    JournalJournal of the Australian Mathematical Society
    Volume71
    Issue number2
    DOIs
    Publication statusPublished - Oct 2001

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