In this paper we consider finite groups G such that every non-cyclic maximal subgroup in its Sylow subgroups is subnormal in G. In particular, we prove that such solvable groups have an ordered Sylow tower.
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Zhejiang Sci Tech Univ, Dept Math, Hangzhou, Peoples R ChinaZhejiang Sci Tech Univ, Dept Math, Hangzhou, Peoples R China
Yi, Xiaolan
Wu, Xiang
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Zhejiang Sci Tech Univ, Dept Math, Hangzhou, Peoples R ChinaZhejiang Sci Tech Univ, Dept Math, Hangzhou, Peoples R China
Wu, Xiang
Kamornikov, Sergey
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F Scorina Gomel State Univ, Dept Math, Gomel, BELARUS
F Scorina Gomel State Univ, Dept Math, Gomel 246019, BELARUSZhejiang Sci Tech Univ, Dept Math, Hangzhou, Peoples R China