FIRST PRINTING OF DEDEKIND GROUP / HAMILTONIAN GROUP

DEDEKIND, VON R.

Ueber Gruppen, deren sämmtliche Theiler Normaltheiler sind.

Leipzig, B.G. Teubner, 1897. 8vo. Original printed wrappers, no backstrip. In "Mathematische Annalen. 48. Band. 4. Heft." Entire issue offered. Minor soiling to back wrapper, internally fine and clean. [Dedekind:] Pp. 548-61. [Entire issue: 433-606, (2) pp.].

First printing of Dedekind groups, named named after Richard Dedekind, who investigated them in proving a form of the above structure theorem (for finite groups). He named the non-abelian ones after William Rowan Hamilton, the discoverer of quaternions.
In group theory, a Dedekind group is a group G such that every subgroup of G is normal. All abelian groups are Dedekind groups. A non-abelian Dedekind group is called a Hamiltonian group

Order-nr.: 44919