Not every p-group can be generated by elements of the same order

For every prime p, we exhibit a finite p-group which cannot be generated by a set of elements, all having the same order. This answers a long-standing question from the Kourovka Notebook. ©2006 American Mathematical Society.

Bibliographic Details
Main Authors: O'Brien, E, Scoppola, C, Vaughan-Lee, M
Format: Journal article
Language:English
Published: 2006