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A note on p-groups of order ≤ p 4

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In [1], we defined c(G), q(G) and p(G). In this paper we will show that if G is a p-group, where p is an odd prime and |G| ≤ p 4, then c(G) = q(G) = p(G). However, the question of whether or not there is a p-group G with strict inequality c(G) = q(G) < p(G) is still open.

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Correspondence to Houshang Behravesh.

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Behravesh, H., Mousavi, H. A note on p-groups of order ≤ p 4 . Proc Math Sci 119, 137–143 (2009). https://doi.org/10.1007/s12044-009-0013-4

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  • DOI: https://doi.org/10.1007/s12044-009-0013-4

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