Marcel Herzog is a group theorist associated with Tel Aviv University. The Mathematics Genealogy Project records his Ph.D. from Cornell University in 1965, with a dissertation on finite groups with a subgroup containing the normalizer of each of its nonunit elements, written under Walter Feit, and lists two students at Tel Aviv University, Zvi Arad in 1974 and Arie Bialostocki in 1984. With Jochanan Schönheim he posed the Herzog-Schönheim conjecture in 1974, which asks whether a finite system of left cosets of subgroups that partitions a group can have pairwise distinct indices; the answer is conjectured to be no.
Marcel Herzog
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Conjectures Posed
Source Herzog-Schonheim Conjecture (Wikipedia)
In Branch
Source Marcel Herzog (Mathematics Genealogy Project)
Mentored By
Source Marcel Herzog (Mathematics Genealogy Project)
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Marcel Herzog (Mathematics Genealogy Project)
In Branch: Group Theory, Degree record
On Finite Groups with a Subgroup Containing the Normalizer of Each of Its Nonunit Elements
Mentored By: Walter Feit, Degree record
Advisor: Walter Feit
View the SourceHerzog-Schonheim Conjecture (Wikipedia)
Wikimedia FoundationConjectures Posed: Herzog-Schonheim Conjecture, LeadQuote, Conjectures Posed: Herzog-Schonheim Conjecture, Lead
posed by Marcel Herzog and Jochanan Sch
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