On finite p-groups with subgroups of breadth 1

Authors

  • Giovanni Cutolo
  • Howard Smith
  • James Wiegold

Keywords:

Finite p-groups, conjugacy classes, breadth

Abstract

We consider finite p-groups G in which every every cyclic subgroup has at most p conjugates. We show that the derived subgroup of such a group has order at most p^2. Further, if the stronger condition holds that all subgroups have at most p conjugates then the central factor group has order p^4 at most. doi:10.1017/S0004972710000055

Published

2010-09-22

Issue

Vol. 82 (2010)

Section

Articles
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