Two generator p-groups of nilpotency class 2 and their conjugacy classes

• Autores: Azhana Ahmad, Arturo Magidin, Robert Fitzgerald Morse
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 145-166
• Idioma: inglés
• DOI: 10.5486/pmd.2012.5114
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• Resumen

  • We give a classi cation of 2-generator p-groups of nilpotency class 2. Using this classi cation, we give a formula for the number of such groups of order pn in terms of the partitions of n of length 3, and nd formulas for the number and size of their conjugacy classes.