Groups of Order 32 as Galois Groups

Michailov, Ivo

Serdica Mathematical Journal (2007)

  • Volume: 33, Issue: 1, page 1-34
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 12F12.We find the obstructions to realizability of groups of order 32 as Galois groups over arbitrary field of characteristic not 2. We discuss explicit extensions and automatic realizations as well.This work is partially supported by project of Shumen University

How to cite

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Michailov, Ivo. "Groups of Order 32 as Galois Groups." Serdica Mathematical Journal 33.1 (2007): 1-34. <http://eudml.org/doc/281528>.

@article{Michailov2007,
abstract = {2000 Mathematics Subject Classification: 12F12.We find the obstructions to realizability of groups of order 32 as Galois groups over arbitrary field of characteristic not 2. We discuss explicit extensions and automatic realizations as well.This work is partially supported by project of Shumen University},
author = {Michailov, Ivo},
journal = {Serdica Mathematical Journal},
keywords = {Embedding Problem; Galois Extension; Quaternion Algebra; Obstruction},
language = {eng},
number = {1},
pages = {1-34},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Groups of Order 32 as Galois Groups},
url = {http://eudml.org/doc/281528},
volume = {33},
year = {2007},
}

TY - JOUR
AU - Michailov, Ivo
TI - Groups of Order 32 as Galois Groups
JO - Serdica Mathematical Journal
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 33
IS - 1
SP - 1
EP - 34
AB - 2000 Mathematics Subject Classification: 12F12.We find the obstructions to realizability of groups of order 32 as Galois groups over arbitrary field of characteristic not 2. We discuss explicit extensions and automatic realizations as well.This work is partially supported by project of Shumen University
LA - eng
KW - Embedding Problem; Galois Extension; Quaternion Algebra; Obstruction
UR - http://eudml.org/doc/281528
ER -

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