×

The contributions of Alfredo Capelli to the theory of groups. (Italian) Zbl 0770.01004

The paper gives an account of the contributions of Alfredo Capelli to the theory of permutation groups and its significance for the theory of groups in general which were principally motivated by Camille Jordan’s “traitĂ© des substitutions” published in 1870. The results obtained by Capelli show how permutation groups clarify many of the concepts of the theory of substitution as well as of general group theory.

MSC:

01A55 History of mathematics in the 19th century
20B05 General theory for finite permutation groups
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures

Biographic References:

Capelli, Alfredo
PDFBibTeX XMLCite