Profinite groups with few conjugacy classes of elements of infinite order

HIGHLIGHTS

  • who: John S. Wilson from the (UNIVERSITY) have published the research: Profinite groups with few conjugacy classes of elements of infinite order, in the Journal: (JOURNAL)

SUMMARY

    In, Jaikin-Zapirain and Nikolov proved that a profinite group with countably many conjugacy classes must be finite. A well-known theorem of Zelmanov asserts that profinite torsion groups are locally finite; that is, their finite subsets generate finite subgroups. The authors recall that a (generalized) p-element of a profinite group G is an element that (topologically) generates a finite p-group or a copy . . .

     

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