Turkish Journal of Mathematics
Author ORCID Identifier
JESUS ALONSO OCHOA ARANGO: 0000-0003-0323-7604
MARIA UMBARILA MARTIN: 0009-0001-0952-0550
Abstract
In this work, the function f2(G), which counts the number of exact factorizations of a finite group G, is studied. The value of f2(G) is computed for several well-known families of finite groups, and an asymptotic expression is derived for the number of exact factorizations of the alternating group A2n .
DOI
10.55730/1300-0098.3666
Keywords
Exact factorizations, finite groups, primitive groups, alternating groups, p-groups, projective special linear group
First Page
517
Last Page
538
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
OCHOA ARANGO, J, & UMBARILA MARTIN, M. A (2026). On the number of exact factorization of finite groups. Turkish Journal of Mathematics 50 (3): 517-538. https://doi.org/10.55730/1300-0098.3666
