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Finite P-groups with unique maximal classes
Published online by Cambridge University Press: 20 January 2009
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Is it possible for a finite p-group to have only one conjugacy class of maximal size? This question was opened to public consideration in a paper [2] of John Meldrum dealing with the breadth of the wreath product of finite p-groups. His Theorem 21 gives a formula for the breadth of A wr B in terms of various constants including the breadths of A and B, a formula which differs according to whether or not A has a unique largest class. Hence the question.
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- Copyright © Edinburgh Mathematical Society 1983
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