Enumerating classes and characters of p-groups

E. A. O'Brien; C. Voll

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arXiv · 1203.3050

Enumerating classes and characters of p-groups

E. A. O'Brien·C. Voll

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Abstract

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.

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BibTeX RIS

E. A. O'Brien, C. Voll. 2012-03-14. Enumerating classes and characters of p-groups. https://arxiv.org/abs/1203.3050

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