id: 05964592 dt: j an: 05964592 au: Ramras, Mark; Donovan, Elizabeth ti: The automorphism group of a Johnson graph. so: SIAM J. Discrete Math. 25, No. 1, 267-270 (2011). py: 2011 pu: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA la: EN cc: ut: Johnson graph; automorphism group; clique ci: Zbl 1063.05037 li: doi:10.1137/090765596 ab: Summary: Using an analysis of the clique structure and only the most elementary group theory, we determine the automorphism group of the Johnson graph $J(n,i)$, for $n\neq 2i$. Although this is a special case of results of {\it G. Jones} [Eur. J. Comb. 26, No. 3‒4, 417‒435 (2005; Zbl 1063.05037)], unlike his proof, ours uses no heavy group-theoretic machinery. We make a conjecture for the case $n=2i$. rv: