We find a sufficient condition to establish that certain abelian groups are not CI-groups with respect to ternary relational structures, and then show that the groups Z3×Z2 2 , Z7×Z3 2 , and Z5 ×Z4 2 satisfy this condition. Then we completely determine which groups Z3 2 ×Zp, p a prime, are CI-groups with respect to color binary and ternary relational structures. Finally, we show that Z5 2 is not a CI-group with respect to ternary relational structures. Copyright © 2013 DMFA Slovenije
Dobson, E., Spiga, P. (2013). CI-groups with respect to ternary relational structures: New examples. ARS MATHEMATICA CONTEMPORANEA, 6(2), 351-364 [10.26493/1855-3974.310.59f].
CI-groups with respect to ternary relational structures: New examples
SPIGA, PABLOUltimo
2013
Abstract
We find a sufficient condition to establish that certain abelian groups are not CI-groups with respect to ternary relational structures, and then show that the groups Z3×Z2 2 , Z7×Z3 2 , and Z5 ×Z4 2 satisfy this condition. Then we completely determine which groups Z3 2 ×Zp, p a prime, are CI-groups with respect to color binary and ternary relational structures. Finally, we show that Z5 2 is not a CI-group with respect to ternary relational structures. Copyright © 2013 DMFA Slovenije
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