Prime-base logarithm of order

From Groupprops
Revision as of 02:34, 26 March 2010 by Vipul (talk | contribs) (Created page with '==Definition== For a group of prime power order, the '''prime-base logarithm of order''' is the logarithm of its order to base equal to the prime. In other words, for a grou…')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Definition

For a group of prime power order, the prime-base logarithm of order is the logarithm of its order to base equal to the prime. In other words, for a group of order p^k, where p is prime, and k a nonnegative integer, the prime-base logarithm of order is k.

The number k is sometimes a more useful size measure than p^k.