A nonabnormal subgroup contained only in self-normalizing subgroups in a finite group
A nonabnormal subgroup contained only in self-normalizing subgroups in a finite group
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DOI：
10.1007/s000130050157
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发表时间：
1998
影响因子：
0.6
通讯作者：
A. Feldman
中科院分区：
文献类型：
--
作者：
A. Feldman
IfUis abnormal inG, thenNG(V) =Vfor everyV≥U. The converse is known to be true for solvable groups, but inFinite Soluble Groups, Doerk and Hawkes indicate that its truth is not known forGfinite and nonsolvable. In this note, we provide a counterexample. We prove:¶¶Theorem.In the unitary group G = U3(3)there exists a nonabnormal subgroup U isomorphic to S4such that U ≤ V implies NG(V) =V.
