TY - JOUR
T1 - Infinite Free Products of Profinite Groups as Absolute Galois Groups
AU - Jarden, Moshe
N1 - Publisher Copyright:
© 2025 Taylor & Francis Group, LLC.
PY - 2025
Y1 - 2025
N2 - It is known that the free product of finitely many absolute Galois groups of fields is the absolute Galois group of a field. We give examples of free products of infinitely many nontrivial absolute Galois groups of fields which are not isomorphic to the absolute Galois group of any field. On the other hand, we give examples of free products of infinitely many nontrivial absolute Galois groups of fields which are the absolute Galois group of a field.
AB - It is known that the free product of finitely many absolute Galois groups of fields is the absolute Galois group of a field. We give examples of free products of infinitely many nontrivial absolute Galois groups of fields which are not isomorphic to the absolute Galois group of any field. On the other hand, we give examples of free products of infinitely many nontrivial absolute Galois groups of fields which are the absolute Galois group of a field.
KW - Absolute Galois groups
KW - Infinite free products
KW - Profinite groups
UR - http://www.scopus.com/inward/record.url?scp=85217155814&partnerID=8YFLogxK
U2 - 10.1080/00927872.2025.2455449
DO - 10.1080/00927872.2025.2455449
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AN - SCOPUS:85217155814
SN - 0092-7872
JO - Communications in Algebra
JF - Communications in Algebra
ER -