The Zappa–Szép product represents a foundational contribution to group theory that links the work of Hungarian mathematician Jenő Szép with Italian mathematician Guido Zappa. Active during a period of significant transition in applied mathematics, Szép bridged the gap between pure algebraic structures and their practical utility in economics, reshaping the curriculum at Corvinus University of Budapest for generations of students.
Academic Foundations and Early Career
Born in Budapest in 1920, Szép pursued a rigorous education at the Miklós Zrínyi Real High School before completing his studies at Pázmány Péter University. He earned a teacher’s diploma in 1943 and a doctorate in 1946. His early career included faculty positions at the Pázmány Péter University Institute of Mathematics and the Budapest Civic School Teacher Training College. By 1952, he earned the title of Candidate of Mathematical Sciences, followed by a doctorate from the Hungarian Academy of Sciences in 1957.
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Szép focused his research on the factorization of finite groups and the development of nilpotent groups. His collaboration with Guido Zappa yielded the Zappa–Szép product, an influential result in algebraic studies. Beyond groups, he expanded his inquiry into semigroups, examining their decomposition and congruence relations. In 1991, he co-authored the book Semigroups with Helmut Jürgensen and Franco Migliorini, further establishing his influence in the field.
Institutional Leadership and Game Theory
Joining the Corvinus University of Budapest in 1961, Szép served as head of the Department of Mathematics for over two decades. He introduced Hungary’s first course on game theory during the 1964–65 academic year. His pedagogical approach was solidified in his 1974 book, Bevezetés a játékelméletbe, co-authored with Ferenc Forgó. In 1990, he co-founded the journal Pure Mathematics and Applications, serving as editor-in-chief and overseeing 14 volumes.
Honours and Lasting Legacy
Szép received numerous accolades for his scientific career, including the Order of Labour in 1980 and 1989, and the Szent-Györgyi Albert Prize in 1993. Upon his retirement in 1993, he held professor emeritus status at Corvinus University and master emeritus status at the University of Szeged. He remained active in research until his death in 2004 in Budapest, where he is buried in the Farkasréti Cemetery.
Fast facts
- Born: 1920, Budapest
- Died: 2004, Budapest
- Education: Eötvös Loránd University
- Primary Employer: Corvinus University of Budapest
- Key Recognition: Eötvös József Wreath (1999)
- Notable Result: Zappa–Szép product
- Resting Place: Farkasréti Cemetery
Questions readers ask
What was Jenő Szép’s primary contribution to mathematics?
He is primarily recognized for his work in group theory, specifically the Zappa–Szép product, and for developing applications of game theory within economic frameworks.
Where did Szép teach for the majority of his career?
He spent most of his academic life at Corvinus University of Budapest, where he headed the Department of Mathematics and the Institute of Mathematics and Computer Science.
Achievements
- Order of Labour — 1980
- Szent-Györgyi Albert Prize — 1993
- Held posts at Corvinus University of Budapest
