LetG be a subgroup of the general linear group GLn(K), where charK ≠ 2. Put Kn =V. AssumeG is generated by the setS of all elements σ inG for wh.

The purpose of this paper is to point out that this behaviour is characteristic for subgroups of orthogonal groups. More precisely, if G is a subgroup of the ...

The orthogonal group in dimension n has two connected components. The one that contains the identity element is a normal subgroup, called the special orthogonal ...

A characterization of orthogonal groups over GF(2). Dedicated to the memory of Richard Brauer, 1901–1977.

If p is irreducible and is equivalent to its complex conjugate p, then p is equivalent either to a real orthogonal representation or to a unitary symplectic one ...

Aug 3, 2018 · Prove that any finite group of order n is isomorphic to a subgroup of O(n), the group of n×n orthogonal real matrices.

Apr 16, 2020 · Prove that [O(2), O(2)] = SO(2). The commutator subgroup of the ortogonal group is equal to the special orthogonal group. Hot Network Questions.

W. J. Wong, A theorem on generation of finite orthogonal groups, submitted to J. Austral. Math. Soc. Google Scholar. Cited by (0).

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A characterization of orthogonal groups over GF(2) · Stephen D. Smith · Published 1980 · Mathematics · Journal of Algebra.