نتایج جستجو برای: maximal chains of normal subgroups
تعداد نتایج: 21205871 فیلتر نتایج به سال:
the purpose of this paper is the determination of the inertia factors, the computations of the fischer matrices and the ordinary character table of the split extension $overline{g}= 3^{7}{:}sp(6,2)$ by means of clifford-fischer theory. we firstlydetermine the conjugacy classes of $overline{g}$ using the coset analysis method. the determination of the inertia factor groups of ...
A group G is simple if and only if the diagonal subgroup of G ×G is a maximal subgroup. This striking property is very easy to prove and raises the question of determining all the maximal subgroups of G , where G denotes the direct product of n copies of G . The first purpose of this note is to answer completely this question. We show in particular that if G is perfect, then any maximal subgrou...
A theorem of O’Nan and Scott [6]; [2, Chapter 4] restricts the possibilities for maximal subgroups of finite symmetric groups: they are of six types of which the first four are explicitly known, the fifth involves a finite simple group, and the sixth an action of a simple group. This result, in conjunction with the Classification of Finite Simple Groups, has a number of consequences. In particu...
In this paper we study the structure of locally solvable, solvable, locally nilpotent, and nilpotent maximal subgroups of skew linear groups. In [S. Akbari et al., J. Algebra 217 (1999) 422–433] it has been conjectured that if D is a division ring and M a nilpotent maximal subgroup of D∗, then D is commutative. In connection with this conjecture we show that if F [M]\F contains an algebraic ele...
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