October 2020 Reconstruction of profinite graphs from profinite groups of PIPSC-type
Yuichiro HOSHI
Hokkaido Math. J. 49(3): 399-430 (October 2020). DOI: 10.14492/hokmj/1607936535

Abstract

In the present paper, we study profinite groups of PIPSC-type, i.e., abstract profinite groups isomorphic to the extensions determined by outer representations of PIPSC-type. In particular, we establish a “group-theoretic” algorithm for constructing, from a profinite group of PIPSC-type that is noncuspidal, a certain profinite graph.

Citation

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Yuichiro HOSHI. "Reconstruction of profinite graphs from profinite groups of PIPSC-type." Hokkaido Math. J. 49 (3) 399 - 430, October 2020. https://doi.org/10.14492/hokmj/1607936535

Information

Published: October 2020
First available in Project Euclid: 14 December 2020

Digital Object Identifier: 10.14492/hokmj/1607936535

Subjects:
Primary: 14H30

Keywords: combinatorial anabelian geometry , profinite group of PIPSC-type , semi-graph of anabelioids of PSC-type

Rights: Copyright © 2020 Hokkaido University, Department of Mathematics

Vol.49 • No. 3 • October 2020
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