Hasil untuk "math.ST"

E. Voronetsky

Elementary subgroups are constructed in all reductive groups of the local isotropic rank at least 2 2 over rings, and their basic properties are proved. In particular, our results may be applied to the automorphism groups of any finitely generated projective modules over commutative unital rings of rank at least 3 3 at every prime ideal.

N. Karpenko

It is shown that any 18 18 -dimensional nondegenerate quadratic form of trivial discriminant and Clifford invariant acquires Witt index at least 5 5 over some finite ground field extension of degree not divisible by 2 4 2^4 . On the basis of previous research, a general formula is also established for all possible similar statements for forms of arbitrary dimension.

G. V. Rozenblyum

D. V. Khlopin

N. V. Durov

N. V. Durov

A. Ponosov, E. Stepanov

N. V. Timofeeva

A. B. Aleksandrov, V. V. Peller

S. I. Kublanovskiĭ

A. Andrianov

M. S. Bichegkuev

D. Borisov

B. Klartag

D. Burago, S. Ivanov, D. Shoenthal

M. V. Bondarko

E. A. Gorin, B. N. Kukushkin

A. M. Vershik

J. Martinet, B. Venkov

V. A. Malyshev