Two Nonisomorphic Groups of Order 96 with Isomorphic Tables of Marks and Noncorresponding Centres and Abelian Subgroups
Por:
Raggi-Cardenas, A, Valero-Elizondo, L
Publicada:
1 ene 2009
Categoría:
Algebra and Number Theory
Resumen:
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.
Filiaciones:
Raggi-Cardenas, A:
Univ Nacl Autonoma Mexico, Inst Math, Morelia 58089, Michoacan, Mexico
Valero-Elizondo, L:
Univ Nacl Autonoma Mexico, Inst Math, Morelia 58089, Michoacan, Mexico
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