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A Class of Finite Resistant p-Groups

         

摘要

A finite p-group P is called resistant if, for any finite group G having P as a Sylow p-group,the normalizer N_G(P) controls p-fusion in G. Let P be a central extension as 1→ Z_(p^m)→ P→ Z_p ×···× Z_p→1,and |P'|≤p,m≥2. The purpose of this paper is to prove that P is resistant.

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