Gustafson’s Isomorphism and the Zassenhaus Lemma via a Common Commutative Diagram

DOI10.1080/00029890.2020.1707611zbMath1436.16001OpenAlexW3014392380WikidataQ124808811 ScholiaQ124808811MaRDI QIDQ4960444

Sergey Yu. Sadov

Publication date: 16 April 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1707611

zbMATH Keywords

Zassenhaus lemma

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) General module theory in associative algebras (16D10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras (16-01)

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Cites Work

• A note on matrix inversion
• The index of operators in Banach spaces
• An algebraic version of the multiplication property of the Fredholm index
• The nullity theorem for principal pivot transform
• The Interplay of Ranks of Submatrices
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