Characters vanishing on all but two conjugacy classes
Characters vanishing on all but two conjugacy classes
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DOI：
10.2140/pjm.1983.109.363
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发表时间：
1983-12
影响因子：
0.6
通讯作者：
S. Gagola
中科院分区：
文献类型：
--
作者：
S. Gagola
若群G的特征标表有一行（对应于一个不可约特征标）恰好有两个非零元素，则G有唯一的极小正规子群N，对于某个素数p，N必然是初等交换p-grovφ。一般来说，O p（G）的导长或零阶类没有界.
If the character table of a group G has a row (corresponding to an irreducible character) with precisely two nonzero entries, then G has a unique minimal normal subgroup N which is necessarily an elementary abelian p-grovφ for some prime p. The group G/O p (G) is completely determined here. In general, there is no bound on the derived length or nilpotence class of O p (G).