The 2‐Modular and 3‐Modular Decomposition Numbers for the Sporadic Simple O'Nan Group and its Triple Cover
The 2‐Modular and 3‐Modular Decomposition Numbers for the Sporadic Simple O'Nan Group and its Triple Cover
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零星简单ONan群及其三重覆盖的2模和3模分解数
DOI：
10.1112/s0024610798005730
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
R. Wilson
中科院分区：
文献类型：
--
作者：
C. Jansen;R. Wilson
确定了零星简单 O'Nan 群 O'N 及其三重覆盖的 2 模和 3 模分解数。结果是在计算机代数包 MeatAxe 和 GAP 的帮助下获得的。排列模块和模块的张量积已被压缩。结果依赖于 GF(4) 上 3·O'N 的 153 维表示和 GF(3) 上 O'N 的 154 维表示的构造。
The 2‐modular and 3‐modular decomposition numbers for the sporadic simple O'Nan group O'N and its triple cover are determined. The results are obtained with the help of the computer algebra packages MeatAxe and GAP. Permutation modules and tensor products of modules have been condensed. The result relies on the construction of a 153‐dimensional representation for 3·O'N over GF(4) and a 154‐dimensional representation for O'N over GF(3).