نتایج جستجو برای: maximal chains of normal subgroups

تعداد نتایج: 21205871  

Journal: :Journal of Algebra 1989

Journal: :international journal of group theory 2016
ayoub basheer jamshid moori

‎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 ‎...

Journal: :Journal of Algebra 1991

Journal: :Journal of Symbolic Computation 2004

Journal: :Notre Dame Journal of Formal Logic 1992

Journal: :LMS Journal of Computation and Mathematics 2005

Journal: :Illinois Journal of Mathematics 1977

1997
Jacques Thévenaz

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...

Journal: :J. Comb. Theory, Ser. A 1996
Martin W. Liebeck Aner Shalev

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...

2003
S. Akbari R. Ebrahimian H. Momenaee Kermani A. Salehi Golsefidy Jan Saxl

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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