cohomology of finite groups;
relative projectivity of modules;
Carlson modules;
Green correspondence;
extraspecial group;
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摘要:
We calculate the mod7 cohomology algebra of the Held simple group, whose Sylow 7-subgroups are extraspecial of order 73 and exponent 7. Our method depends on the analysis of the Carlson module of a regular class belonging to a system of parameters.
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Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Liu, Xiugui
Wang, He
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Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China