Can someone give some clarification of why this would be the case:(adsbygoogle = window.adsbygoogle || []).push({});

"A group with less then 1000 elements can be generated by less than 10 elements"

Clearly this is the case for some groups, but is it really the case for any group with less than 1000 elements?

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

Dismiss Notice

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!

# Number of generators of finite group

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