Translator Disclaimer
June 2003 Classification of Spatial Polygons that Could Possibly Generate Embedded Triply Periodic Minimal Surfaces
Tetsuro KAWASAKI
Tokyo J. Math. 26(1): 23-53 (June 2003). DOI: 10.3836/tjm/1244208681

Abstract

We are studying the action of Galois groups on the pro-$l$ completion of the fundamental group of $\mathbf{P}^1_{\overline{\mathbf{Q}(\mu_n)}} \backslash \{0,\mu_n,\infty\}$. If $n=2p$, where $p$ is an odd prime number then the Lie algebra of derivations associated to the image of $\text{Gal}(\overline{\mathbf{Q}} / \mathbf{Q}(\mu_{2p\cdot l^\infty}))$ has $\frac{p-1}{2}$ generators in each even degree and $\frac{p-1}{2}$ generators in each odd degree greater than $1.$ We shall show that generators in even degrees generate a free Lie algebra.

Citation

Download Citation

Tetsuro KAWASAKI. "Classification of Spatial Polygons that Could Possibly Generate Embedded Triply Periodic Minimal Surfaces." Tokyo J. Math. 26 (1) 23 - 53, June 2003. https://doi.org/10.3836/tjm/1244208681

Information

Published: June 2003
First available in Project Euclid: 5 June 2009

zbMATH: 1048.53005
MathSciNet: MR1981998
Digital Object Identifier: 10.3836/tjm/1244208681

Rights: Copyright © 2003 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
31 PAGES


SHARE
Vol.26 • No. 1 • June 2003
Back to Top