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Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.08.006
Abstract: Abstract Let A and G be finite groups having coprime orders and suppose that A acts on G via automorphisms. We give some solvability criteria for G according to the number of orbits that appear…
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Keywords:
finite groups;
subgroups solvability;
orbits maximal;
invariant subgroups ... See more keywords
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Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2022.3211959
Abstract: Set theoretic analysis plays a crucial part in understanding safety requirements for control systems. We apply the lattice theoretic insights of fixed point theorems to construct the maximal invariant set and verify safety constraint satisfaction.…
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Keywords:
maximal invariant;
safety;
lattice theoretic;
invariant set ... See more keywords