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The Supersolvability of QCLT Groups

The Supersolvability of QCLT Groups
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摘要 As an application of the outer structure theorem of formations [1], we study, in this paper, the supersolvability of QOLT groupsHumphreys has showed that every QOLT group of odd order is supersolvable [2]. The example 84 shows that a QCLT group of even order is not necessarily supersolvable. Now we consider the supersolvability of QCLT groups of even order.The group G is a OLT group if, for every divisor of \G\, & has a subgroup of order d. A group (7 is a QOLT group if every homomorphic image of & is OLT group.
作者 张来武
出处 《Acta Mathematica Sinica,English Series》 SCIE 1985年第4期378-381,共4页 数学学报(英文版)
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