Can I read On Groups with Slow Intersection Growth on EtoBox?

On Groups with Slow Intersection Growth by Kassabov, Martin; Matucci, Francesco is a scholarly article available to read on EtoBox.

What is On Groups with Slow Intersection Growth about?

Intersection growth concerns the asymptotic behavior of the index of the intersection of all subgroups of a group that have index at most n. In this note we show that the intersection growth of some groups may not be a nicely behaved function by showing the following seemingly contradictory results: (a) for any group G the intersection growth function i_G(n) is super linear infinitely often; and (b) for any increasing function f there exists a group G such that i_G below f infinitely often.

Author

Kassabov, Martin; Matucci, Francesco

Published

2013

Language

EN