Enumerating classes and characters of p-groups

التفاصيل البيبلوغرافية
العنوان: Enumerating classes and characters of p-groups
المؤلفون: O'Brien, E. A., Voll, C.
سنة النشر: 2012
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, 20C15, 20D15
الوصف: 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.
Comment: 21 pages, slightly revised version, to appear in Trans. Amer. Math. Soc
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1203.3050
رقم الأكسشن: edsarx.1203.3050
قاعدة البيانات: arXiv