2021/02/23 by Kevin Iván Piterman, Piterman, Kevin Ivan, Iván Sadofschi Costa +1
Mathematics · #Finite Group Theory Research #Geometric and Algebraic Topology #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.2102.11459
In this second part we prove that, if G is one of the groups PSL2(q) with q>5 and q≡ 5\pmod 24 or q≡ 13 \pmod24, then the fundamental group of every acyclic 2-dimensional, fixed point free and finite G-complex admits a nontrivial representation in a unitary group U(m). This completes the proof of the following result: every action of a finite group on a finite and contractible 2-complex has a fixed point.