because the only thing the definition asks to check is the closure and inverse axioms?(adsbygoogle = window.adsbygoogle || []).push({});

this arose from a problem I was working on. elements with infinite order of an abelian grp G do not necessarly make a subgrp with 0. counter example: Z x Z3

consider (1,1),(-1,1) both with inf. order but their sum (0,2) has order 3.

sorry for the abbrev. I am sending this from my phone

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# Do subgrps inherent their group properties

Loading...

Similar Threads for subgrps inherent group |
---|

I Question about groups |

I Spin group SU(2) and SO(3) |

I What is difference between transformations and automorphisms |

I Lorentz group representations |

I Correspondence Theorem for Groups ... Another Question ... |

**Physics Forums | Science Articles, Homework Help, Discussion**