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Indecomposable Sylow 2-Subgroups of Simple Groups
Authors:Koichiro Harada  Mong Lung Lang
Institution:(1) Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA;(2) Department of Mathematics, National University of Singapore, Singapore
Abstract:Let S be a Sylow 2-subgroup of a finite simple group and let S=S1×S2×sdotsdotsdot×Sk be the direct product and each component Si, i=1,2,.thinsp.thinsp.,k is indecomposable. In this article, we prove that each Si is also a Sylow 2-subgroup of some simple group. Mathematics Subject Classifications (2000) 20E32, 20D20.
Keywords:Sylow 2-subgroups  simple groups
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