Given a quadratic extension L/K of fields and a regular alternating space (V, f) of finite dimension over L, we determine the isometry group of a K-subspace W of V which does not split into the orthogonal sum of two proper K-subspaces, W being neither an L-space nor a K-substructure.
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Khetagurov North Ossetian State Univ, Vladikavkaz, RussiaKhetagurov North Ossetian State Univ, Vladikavkaz, Russia
Ikaev, S. S.
Koibaev, V. A.
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Khetagurov North Ossetian State Univ, Vladikavkaz, Russia
Southern Math Inst, Vladikavkaz, RussiaKhetagurov North Ossetian State Univ, Vladikavkaz, Russia
Koibaev, V. A.
Likhacheva, A. O.
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Siberian Fed Univ, Krasnoyarsk, RussiaKhetagurov North Ossetian State Univ, Vladikavkaz, Russia