Author/Authors :
ايوا نز، م. جي. نويسنده Department of Mathematics, The University of Alabama, Tuscaloosa, AL. 35487-0350, U.S.A. J. Evans, Martin J. , ديكسون، مارتين ر. نويسنده Department of Mathematics, The University of Alabama, Tuscaloosa, AL. 35487-0350, U.S.A. Dixon, Martyn R. , اسميت، هوارد نويسنده Department of Mathematics, Bucknell University, Lewisburg, PA. 17837, U.S.A. Smith, Howard
Abstract :
A normal subgroup N of a group G is said to be an omissible subgroup of G if it has the
following property: whenever X G is such that G = XN, then G = X. In this note we construct
various groups G, each of which has an omissible subgroup N 6= 1 such that G=N = SL2(k) where k
is a field of positive characteristic.