نتایج جستجو برای: projective special linear groups
تعداد نتایج: 1428599 فیلتر نتایج به سال:
in [u. dempwolff, on extensions of elementary abelian groups of order $2^{5}$ by $gl(5,2)$, textit{rend. sem. mat. univ. padova}, textbf{48} (1972), 359 - 364.] dempwolff proved the existence of a group of the form $2^{5}{^{cdot}}gl(5,2)$ (a non split extension of the elementary abelian group $2^{5}$ by the general linear group $gl(5,2)$). this group is the second l...
Received 16 March 2008; accepted 4 May 2008 Abstract: We classify the maximal irreducible periodic subgroups of PGL(q,F) , where F is a field of positive characteristic p transcendental over its prime subfield, q 6= p is prime, and F× has an element of order q . That is, we construct a list of irreducible subgroups G of GL(q,F) containing the centre F×1q of GL(q,F) , such that G/F×1q is a maxim...
A century ago, Camille Jordan proved that the complex general linear group GLn(C) has the Jordan property: there is a Jordan constant Cn such that every finite subgroup H ≤ GLn(C) has an abelian subgroup H1 of index [H : H1] ≤ Cn. We show that every connected algebraic group G (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on dimG, and that the...
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