Groups with exactly two supercharacter theories

Groups with exactly two supercharacter theories
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DOI：
10.1080/00927872.2016.1172622
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发表时间：
2015-05
期刊：
Communications in Algebra
影响因子：
0.7
通讯作者：
Shawn T. Burkett;Jonathan P. Lamar;M. Lewis;Casey Wynn
Shawn T. Burkett;Jonathan P. Lamar;M. Lewis;Casey Wynn
中科院分区：
数学3区
文献类型：
--
作者：
Shawn T. Burkett;Jonathan P. Lamar;M. Lewis;Casey Wynn

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摘要 在本文中，我们用两种超字符理论对这些有限群进行分类。我们证明了具有两个超字符理论的可解群是 ℤ3 和 S3。我们还证明了唯一具有两个超级字符理论的不可解群是 Sp(6,2)。
ABSTRACT In this paper, we classify those finite groups with exactly two supercharacter theories. We show that the solvable groups with two supercharacter theories are ℤ3 and S3. We also show that the only nonsolvable group with two supercharacter theories is Sp(6,2).