| Rose Pauline Peltesohn | |
| Birth Date: | 16 May 1913 |
| Birth Place: | Berlin, Germany |
| Death Place: | Kfar Saba, Israel |
| Fields: | Combinatorics |
| Workplaces: | Berlin, Tel Aviv |
| Alma Mater: | Humboldt University |
| Thesis Title: | Das Turnierproblem für Spiele zu je dreien |
| Thesis Url: | http://www.sweet-art.co.il/Rose_peltesohn/Rose_Peltesohn-Das%20Turnierproblem_fur_Spiele_zu_je_dreien.pdf |
| Thesis Year: | 1936 |
| Doctoral Advisor: | Issai Schur |
| Spouse: | Gerhard Peltesohn |
| Partners: | )--> |
| Children: | Ruth (born 1940), Judith (born 1943). |
Rose Pauline Peltesohn (16 May 1913 – 21 March 1998) was an Israeli mathematician of German origin.
Rose Peltesohn was the daughter of the physician Ludwig Peltesohn (1882–1937) and of Cilly Caro.[1] After graduation (Abitur) in March 1931 she studied mathematics and physics at the University of Berlin and got her Ph.D. in Mathematics at 1936 with Issai Schur[2] as supervisor (Das Turnierproblem für Spiele zu je dreien, The tournament problem for three person games). Her dissertation was valued opus valde laudabile(de). Being Jewish she emigrated through Italy to Palestine, arriving 1938.[3] Between the years 1939–1942 she worked in a bank and later as a lawyer's secretary and translator in Tel Aviv. She married her cousin Gerhard Peltesohn, a lawyer (1909–1965), and they had two daughters, Ruth (born 1940) and Judith (born 1943).
Peltesohn solved the Difference Problems of (1896) in combinatorics in 1939.[4] A Difference Triple (a, b, c) is defined as three different elements from the set
1,2,...,v-1
\bmodv
a+b+c=0\bmodv
\bmodv
a+b=c\bmodv
v=6m+1
1,2,\ldots,3m
v=6m+3
1,2,\ldots,2m,2m+2,\ldots,3m+1
Following Peltesohn, such a partition exists with the exception of the case v = 9.
An example of the partition for
v=13
(1,3,4)
1+3=4\bmod13
(2,5,6)
2+5+6=13=0\bmod13
The solution of the Difference Problem of Heffter also gives a construction of cyclic Steiner triple systems.