Otto Schreier worked in combinatorial group theory, particularly on subgroups of free groups and on knot groups. He was born in Vienna on 3 March 1901 and died in Hamburg on 2 June 1929, aged twenty-eight. Within his short life he proved that every subgroup of a free group is itself free, a result now known as the Nielsen-Schreier theorem, and introduced the Schreier coset graph and the Schreier refinement theorem. He is counted among the founders of combinatorial group theory.
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Otto Schreier
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In Branch
Source Otto Schreier, Biography (MacTutor History of Mathematics)
Principal Result
Source Nielsen-Schreier Theorem (Wikipedia)
Proofs Credited
Source Artin-Schreier Theorem (Wikipedia)
Source Nielsen-Schreier Theorem (Wikipedia)
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Source Otto Schreier, Biography (MacTutor History of Mathematics)Quick InfoQuote, Quick Info
Born 3 March 1901 Vienna, Austria
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1. Otto Schreier, Biography (MacTutor History of Mathematics)
Quick Info: Born
3 March 1901
Summary
Otto Schreier worked in combinatorial group theory, particularly on subgroups of free groups and on knot groups.
View the SourceNielsen-Schreier Theorem (Wikipedia)
Wikimedia FoundationPrincipal Result: Nielsen-Schreier Theorem, Lead sentence of the article on the result
It is named after Jakob Nielsen and Otto Schreier.
Proofs Credited: Nielsen-Schreier Theorem, Lead
It is named after Jakob Nielsen and Otto Schreier.
View the Source Artin-Schreier Theorem (Wikipedia)
Proofs Credited: Artin-Schreier Theorem, LeadQuote, Proofs Credited: Artin-Schreier Theorem, Lead
The theorem is named for Emil Artin and Otto Schreier, who proved it in 1926
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