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外文期刊>Communications in Algebra
>Two Nonisomorphic Groups of Order 96 with Isomorphic Tables of Marks and Noncorresponding Centres and Abelian Subgroups
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Two Nonisomorphic Groups of Order 96 with Isomorphic Tables of Marks and Noncorresponding Centres and Abelian Subgroups
We construct two nonisomorphic groups G and Q of order 96 which have isomorphic tables of marks, but such that the centre of G has order 8 and the centre of Q has order 4. We also note that G has an abelian subgroup of order 48, whereas Q has no abelian subgroup of that order. This also leads us to conclude that this isomorphism of tables of marks does not preserve normalizers.View full textDownload full textKey WordsBurnside rings, Group representation, Tables of marks2000 Mathematics Subject Classification19A22Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802243614
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