Even-order subgroups of finite-dimensional division rings

DOI10.1016/0021-8693(77)90311-8zbMath0409.16020OpenAlexW2077038229MaRDI QIDQ1258804

Gary R. Greenfield

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90311-8

zbMATH Keywords

Algebraic Number FieldEven-Order Subgroups of Finite-Dimensional RingsField of P-Adic NumbersFinite Subgroups of Multiplicative Groups of Skew FieldNoncyclic Groups of Odd Orders in Skew FieldsSkew Field

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Units, groups of units (associative rings and algebras) (16U60) Division rings and semisimple Artin rings (16Kxx)

Cites Work

• Embedding finite groups in rational division algebras. I
• Embedding finite groups in rational division algebras. II
• The Schur subgroup. II
• Embedding finite groups in rational division algebras. III
• Finite Subgroups of Division Rings
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