Geodesic
Groups Formed by Redefining Multiplication
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 419-423

Voir la notice de l'article provenant de la source Cambridge University Press

Let G be a group with elements 1,..., n such that the group operation agrees with ordinary multiplication whenever the ordinary product of two elements lies in G. We show that if n is odd, then G is abelian.
DOI : 10.4153/CMB-1988-061-5
Mots-clés : 20F05, 10H15 
Chandler, K. A. Groups Formed by Redefining Multiplication. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 419-423. doi: 10.4153/CMB-1988-061-5
@article{10_4153_CMB_1988_061_5,
     author = {Chandler, K. A.},
     title = {Groups {Formed} by {Redefining} {Multiplication}},
     journal = {Canadian mathematical bulletin},
     pages = {419--423},
     year = {1988},
     volume = {31},
     number = {4},
     doi = {10.4153/CMB-1988-061-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-061-5/}
}
TY  - JOUR
AU  - Chandler, K. A.
TI  - Groups Formed by Redefining Multiplication
JO  - Canadian mathematical bulletin
PY  - 1988
SP  - 419
EP  - 423
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-061-5/
DO  - 10.4153/CMB-1988-061-5
ID  - 10_4153_CMB_1988_061_5
ER  - 
%0 Journal Article
%A Chandler, K. A.
%T Groups Formed by Redefining Multiplication
%J Canadian mathematical bulletin
%D 1988
%P 419-423
%V 31
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-061-5/
%R 10.4153/CMB-1988-061-5
%F 10_4153_CMB_1988_061_5

[1] 1. Guy, Richard, ed., A group of two problems in groups Amer. Math. Monthly 92 (1986), pp. 119–121. Google Scholar

[2] 2. Ramaswami, V., On the number of positive integers less than x and free of prime divisors greater than xc Bull. Amer. Math. Soc. 55 (1949), pp. 1122–1127. Google Scholar

[3] 3. Barkley Rosser, J. and Schoenfeld, Lowell, Approximate formulas for some functions of prime numbers Illinois J. Math. 6 (1962), pp. 64–92. Google Scholar

Cité par Sources :