We consider the problem of how the nilpotency class of a finite p-group can be bounded in terms of the maximum length of the conjugacy classes of (cyclic) subgroups. We sharpen some previously known bounds and also prove that a p-group in which every cyclic subgroup has at most p2 conjugates has class at most 4.
The nilpotency class of p-groups in which subgroups have few conjugates / Cutolo, Giovanni; H., Smith; J., Wiegold. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 300:1(2006), pp. 160-170. [10.1016/j.jalgebra.2006.02.004]
The nilpotency class of p-groups in which subgroups have few conjugates
CUTOLO, GIOVANNI;
2006
Abstract
We consider the problem of how the nilpotency class of a finite p-group can be bounded in terms of the maximum length of the conjugacy classes of (cyclic) subgroups. We sharpen some previously known bounds and also prove that a p-group in which every cyclic subgroup has at most p2 conjugates has class at most 4.File in questo prodotto:
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