How Long to Read 3-Manifold Groups Are Virtually Residually p

By Matthias Aschenbrenner

How Long Does it Take to Read 3-Manifold Groups Are Virtually Residually p?

It takes the average reader 1 hour and 40 minutes to read 3-Manifold Groups Are Virtually Residually p by Matthias Aschenbrenner

Assuming a reading speed of 250 words per minute. Learn more

Description

Given a prime , a group is called residually if the intersection of its -power index normal subgroups is trivial. A group is called virtually residually if it has a finite index subgroup which is residually . It is well-known that finitely generated linear groups over fields of characteristic zero are virtually residually for all but finitely many . In particular, fundamental groups of hyperbolic -manifolds are virtually residually . It is also well-known that fundamental groups of -manifolds are residually finite. In this paper the authors prove a common generalization of these results: every -manifold group is virtually residually for all but finitely many . This gives evidence for the conjecture (Thurston) that fundamental groups of -manifolds are linear groups.

How long is 3-Manifold Groups Are Virtually Residually p?

3-Manifold Groups Are Virtually Residually p by Matthias Aschenbrenner is 100 pages long, and a total of 25,000 words.

This makes it 34% the length of the average book. It also has 31% more words than the average book.

How Long Does it Take to Read 3-Manifold Groups Are Virtually Residually p Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 16 minutes to read 3-Manifold Groups Are Virtually Residually p aloud.

What Reading Level is 3-Manifold Groups Are Virtually Residually p?

3-Manifold Groups Are Virtually Residually p is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

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