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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A characterization of $ U\sb{3}(2\sp{n})$ by its Sylow $ 2$-subgroup


Author: Robert L. Griess
Journal: Trans. Amer. Math. Soc. 175 (1973), 181-186
MSC: Primary 20D05
DOI: https://doi.org/10.1090/S0002-9947-1973-0318292-4
MathSciNet review: 0318292
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Abstract: We determine all the finite groups having a Sylow 2-subgroup isomorphic to that of $ {U_3}({2^n}),n \geq 3$. In particular, the only such simple groups are the $ {U_3}({2^n})$.


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DOI: https://doi.org/10.1090/S0002-9947-1973-0318292-4
Keywords: Projective special unitary groups, 2-closed centralizers of involutions, Sylow 2-subgroups, connected, balanced group
Article copyright: © Copyright 1973 American Mathematical Society