Talk:Growth rate (group theory)

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Untitled[edit]

Shouldn't the generating set T be required to be finite? Otherwise you end up taking logarithms of infinite cardinals (which is possible, but not with the ordinary definition of logarithm that seems to be assumed here). --Zundark 21:16, 22 Mar 2004 (UTC)

The most recent edit has omitted a few of the most elementary remarks, helpful for non-specialists. I may put these back in, at some point.

Charles Matthews 05:56, 6 May 2004 (UTC)[reply]


I agree, but I think it is better now than before, in anycase the subject is a bit advanced....

Tosha 01:40, 7 May 2004 (UTC)[reply]

a problem[edit]

Problem[edit]

The growth rate is ok, but I realized that defs of polynomial growth and exp growth here are not exactly standard. I want to fix it, but do not have books arrownd at the moment. (so I will make changes only in September) Tosha 12:42, 16 Jul 2004 (UTC)

Balls[edit]

The opening sentence says:

In group theory, the growth rate of a group with respect to a symmetric generating set describes the size of balls in the group.

What are balls in a group? Michael Hardy (talk) 19:58, 6 August 2008 (UTC)[reply]

I think it's referring to metric balls in the word metric Kaoru Itou (talk) 01:10, 28 December 2009 (UTC)[reply]