Mathematics – Group Theory
Scientific paper
2012-03-14
Mathematics
Group Theory
20 pages
Scientific paper
We develop general formulae for the numbers of conjugacy classes and irreducible complex characters of finite p-groups of nilpotency class less than p. This allows us to unify and generalize a number of existing enumerative results, and to obtain new such results for generalizations of relatively free p-groups of exponent p. Our main tools are the Lazard correspondence and the Kirillov orbit method.
O'Brien E. A.
Voll Christopher
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