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math.GR2018
Relative complete reducibility and normalised subgroups
Maike Gruchot, Alastair Litterick, Gerhard Roehrle
We study a relative variant of Serre's notion of -complete reducibility for a reductive algebraic group . We let be a reductive subgroup of , and consider subgroups of…
math.GR2018
Further Rigid Triples of Classes in
Matthew Conder, Alastair Litterick
We establish the existence of two rigid triples of conjugacy classes in the algebraic group in characteristic , complementing results of the second author with Liebeck a…
math.GR2018
Reducible subgroups of exceptional algebraic groups
Alastair J. Litterick, Adam R. Thomas
Let be a simple algebraic group over an algebraically closed field. A closed subgroup of is called -completely reducible (-cr) if, whenever is contained in a…