Testing spherical transitivity in iterated wreath products of cyclic groups

Mathematics – Group Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

We give a partial solution a question of Grigorchuk, Nekrashevych, Sushchanskii and \v{S}uni\'k by giving an algorithm to test whether a finite state element of an infinite iterated (permutational) wreath product $\hat G = \mathbb Z/k\mathbb Z\wr \mathbb Z/k\mathbb Z\wr \mathbb Z/k\mathbb Z\wr >...$ of cyclic groups of order $n$ acts spherically transitively. We can also decide whether two finite state spherically transitive elements of $\hat G$ are conjugate. For general infinite iterated wreath products, an algorithm is presented to determine whether two finite state automorphisms have the same image in the abelianization.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Testing spherical transitivity in iterated wreath products of cyclic groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Testing spherical transitivity in iterated wreath products of cyclic groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Testing spherical transitivity in iterated wreath products of cyclic groups will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-301457

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.