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WEAK CAYLEY TABLE GROUPS OF SOME CRYSTALLOGRAPHIC GROUPS
Published online by Cambridge University Press: 28 January 2018
Abstract
For a group G, a weak Cayley table isomorphism is a bijection f : G → G such that f(g1g2) is conjugate to f(g1)f(g2) for all g1, g2 ∈ G. The set of all weak Cayley table isomorphisms forms a group (G) that is the group of symmetries of the weak Cayley table of G. We determine (G) for each of the 17 wallpaper groups G, and for some other crystallographic groups.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2018