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| A Class of Finite Resistant p-Groups |
| He Guo LIU1, Yu Lei WANG2 |
1. Department of Mathematics, Hubei University, Wuhan 430062, P. R. China;
2. Department of Mathematics, He'nan University of Technology, Zhengzhou 450001, P. R. China |
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Abstract A finite p-group P is called resistant if, for any finite group G having P as a Sylow p-group, the normalizer NG(P) controls p-fusion in G. Let P be a central extension as
1 → Zpm → P → Zp ×···×Zp → 1,
and |P'| ≤ p, m ≥ 2. The purpose of this paper is to prove that P is resistant.
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Received: 07 January 2014
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| Fund: Supported by NSFC (Grant Nos. 11371154, 11301150 and 11601121) and Natural Science Foundation of Henan Province of China (Grant Nos. 142300410134, 162300410066) |
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2017, Vol. 33 
