On maximal distances in a commuting graph

Details On maximal distances in a commuting graph On maximal distances in a commuting graph

2010-09-28

arxiv.org/abs/1009.5543v1

Mathematics

Rings and Algebras

Scientific paper

We study maximal distances in the commuting graphs of matrix algebras defined
over algebraically closed fields. In particular, we show that the maximal
distance can be attained only between two nonderogatory matrices. We also
describe rank-one and semisimple matrices using the distances in the commuting
graph.

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