Classification of pro- p subgroups of SL 2 over a p -adic ring, where p is an odd prime

Richard Pink

Compositio Mathematica (1993)

  • Volume: 88, Issue: 3, page 251-264
  • ISSN: 0010-437X

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Pink, Richard. "Classification of pro-$p$ subgroups of $\mathrm {SL}_2$ over a $p$-adic ring, where $p$ is an odd prime." Compositio Mathematica 88.3 (1993): 251-264. <http://eudml.org/doc/90246>.

@article{Pink1993,
author = {Pink, Richard},
journal = {Compositio Mathematica},
keywords = {central series; derived series; semilocal rings; pro--subgroups},
language = {eng},
number = {3},
pages = {251-264},
publisher = {Kluwer Academic Publishers},
title = {Classification of pro-$p$ subgroups of $\mathrm \{SL\}_2$ over a $p$-adic ring, where $p$ is an odd prime},
url = {http://eudml.org/doc/90246},
volume = {88},
year = {1993},
}

TY - JOUR
AU - Pink, Richard
TI - Classification of pro-$p$ subgroups of $\mathrm {SL}_2$ over a $p$-adic ring, where $p$ is an odd prime
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 88
IS - 3
SP - 251
EP - 264
LA - eng
KW - central series; derived series; semilocal rings; pro--subgroups
UR - http://eudml.org/doc/90246
ER -

References

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  1. 1 Z I. Borevich, N. A. Vavilov, Subgroups of the full linear group over a semilocal ring that contain the group of diagonal matrices, Tr. Mat. Inst. Akad. Nauk SSSR, 148 (1978), 43-57. Zbl0444.20039MR558939
  2. 2 G. Harder, R. Pink, Modular konstruierte unverzweigte abelsche p-Erweiterungen von Q(ζ p) und die Struktur ihrer Galoisgruppe, Math. Nachr.159 (1992) 83-99. Zbl0773.11069
  3. 3 M. Lazard, Groupes analytiques p-adiques, Publ. Math. IHES26 (1965). Zbl0139.02302MR209286
  4. 4 E. Papier, Représentations l-adiques, Compos. Math.71 (1989), 303-362. Zbl0703.11024MR1022048
  5. 5 N.A. Vavilov, Description of subgroups of the full linear group over a semilocal ring that contain the group of diagonal matrices, Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst. Nauk SSSR, 86 (1979), 30-34- Journal of Soviet Mathematics17, No. 4 (1981), 1960-1963. Zbl0462.20042MR535477

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