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A classification of some regular p-groups and its applications 被引量:10

A classification of some regular p-groups and its applications
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摘要 In this paper we classify regular p-groups with type invariants (e, 1, 1, 1) for e ≥ 2 and (1, 1, 1, 1, 1). As a by-product, we give a new approach to the classification of groups of order p5, p ≥ 5 a prime. In this paper we classify regular p-groups with type invariants (e, 1,1,1) for e≥2 and (1,1,1,1,1). As a by-product, we give a new approach to the classification of groups of order p5, p ≥ 5 a prime.
出处 《Science China Mathematics》 SCIE 2006年第3期366-386,共21页 中国科学:数学(英文版)
基金 supported by the National Natural Science Founda tion of China(Grant Nos.10371003&10471085) Natural Science Foundation of Beijing 1052005) Natural Science Foundation of Shanxi Province(Grant No.20051007) Key Project of Ministry of Education(Grant No.02023) The Returned Abroad-Student Found of Shanxi Province(Grant No.[2004]7).
关键词 REGULAR p-groups type invariants UNIQUENESS bases groups of order p5. regular p-groups, type invariants, uniqueness bases, groups of order p5.
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同被引文献24

  • 1ZHANG QinHai & QU HaiPeng School of Mathematics and Computer Sciences, Shanxi Normal University, Linfen 041004, China.On Hua-Tuan's conjecture[J].Science China Mathematics,2009,52(2):389-393. 被引量:5
  • 2Zhang JunQiang,Li XianHua.Finite p-groups all of whose proper subgroups have small derived subgroups[J].Science China Mathematics,2010,53(5):320-325. 被引量:2
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