GAP Computations with O + 8 ( 5 ) . S 3 and O + 8 ( 2 ) . S 3 Thomas Breuer Lehrstuhl D für Mathematik RWTH
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چکیده
This note shows how to construct a representation of the automorphic extension G of the simple group S = O 8 (5) by a symmetric group on three points, together with an embedding of the normalizer H of an O 8 (2) type subgroup of O + 8 (5). As an application, it is shown that the permutation representation of G on the cosets of H has a base of length two. This question arose in [BGS11].
منابع مشابه
Gap Computations with O
This note shows how to construct a representation of the automorphic extension G of the simple group S = O 8 (5) by a symmetric group on three points, together with an embedding of the normalizer H of an O 8 (2) type subgroup of O + 8 (5). As an application, it is shown that the permutation representation of G on the cosets of H has a base of length two. This question arose in [BGS].
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تاریخ انتشار 2012