Saturated fusion systems over -groups | |
Liao, Jun ; Zhang, Jiping | |
2016 | |
关键词 | LOCAL FINITE-GROUPS EXTRASPECIAL P-GROUPS CONSTRUCTION SUBSYSTEMS 2-GROUPS SUBGROUP |
英文摘要 | In this paper we study the saturated fusion systems over -groups S of order greater than . This study requires the analysis of the possible saturated fusion systems in terms of the -automorphisms of the possible -centric and -radical subgroups. Also, for each case in the classification, either S is resistant or is constrained. The classification identifies a large family of resistant groups complementing the results on resistant groups found by various authors such as Green-Minh, Stancu, and Diaz-Ruiz-Viruel. Moreover, the classification provides some interesting examples of saturated fusion systems which have an -essential abelian subgroup of index p.; National 973 Project [452101650122]; NSFC [11131001, 11401186, 11371124]; BCMIIS-project; SCI(E); ARTICLE; jliao@pku.edu.cn; jzhang@pku.edu.cn; 3-4; 1137-1147; 282 |
语种 | 中文 |
出处 | SCI |
出版者 | MATHEMATISCHE ZEITSCHRIFT |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/438393] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Liao, Jun,Zhang, Jiping. Saturated fusion systems over -groups. 2016-01-01. |
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