Let Fq be a finite field of characteristic p having q elements, where q = p and p ≥ 5. Let SL(2,Z3) be the special linear group of 2 × 2 matrices with determinant 1 over Z3. In this note we establish the structure of the unit group of FqSL(2,Z3). 2010 MSC: 16U60, 20C05

Let G be a discrete group, h(G) the group algebra of G. Symmetry of h(G) has been considered in [l], [3]. Groups containing a free subgroup on two or more generators are the only groups found to have nonsymmetric group algebras, and in each case the groups found to have symmetric algebras are in the family of amenable groups. In this note we present an example of an amenable group with a nonsym...

Abstract Each vector space that is endowed with a quadratic form determines its Clifford algebra. This algebra, in turn, contains distinguished group, known as the Lipschitz group. We show only quotient of this group remains meaningful context projective metric geometry. can be viewed point set on algebra and, under certain restrictions, leads to an algebraic description so-called kinematic map...