On unitary groups associated to division algebras of degree three

19 Dec 2017  ·  Maurischat Kathrin ·

We show that the special unitary group associated to an involution of the second kind on a central division algebra of degree three does not contain hermitian or skew-hermitian elements. Especially, there are no reflections... For Albert's special cyclic presentation we show that the intersections of reasonable $S$-arithmetic subgroups with the two obvious maximal subfields consist of the trivial central elements. read more

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Number Theory