I have a pretty basic question about direct sum/product of groups.(adsbygoogle = window.adsbygoogle || []).push({});

Say you were given the group (Z4 x Z2, +mod2). Now I know that Z4 x Z2 is given by { (0,0), (0,1), (1,0), (1,1), (2,0), (2,1), (3,0), (3,1) }. So now if you were going to add together two of the elements using the binary operation +mod2, e.g. doing (1,1) +mod2 (2,1). Does this give you:

(1,1) +mod2 (2,1) = (1+2,1+1) = (3,2) = (1,0)?

I'm pretty sure that this is correct, but I thought another possibility might have been that you add the first two elements in mod4 and the second two in mod 2

e.g. (1,1) + (2,1) = (3,2) = (3,0).

Help clarifying would be super.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Direct product/sum of groups

Loading...

Similar Threads - Direct product groups | Date |
---|---|

Direct Product of Cyclic Groups | Nov 6, 2014 |

Direct Product of Groups | Jun 17, 2012 |

Direct product of two groups with different n-spaces | Jan 11, 2012 |

Simple Q about direct product representation of a group | Oct 23, 2011 |

DIHEDRAL GROUP - Internal Direct Product | Sep 23, 2011 |

**Physics Forums - The Fusion of Science and Community**