نتایج جستجو برای: non normal subgroup
تعداد نتایج: 1868367 فیلتر نتایج به سال:
BACKGROUND Prognostic risk stratification according to acquired or inherited genetic alterations has received increasing attention in acute myeloid leukemia in recent years. A germline Janus kinase 2 haplotype designated as the 46/1 haplotype has been reported to be associated with an inherited predisposition to myeloproliferative neoplasms, and also to acute myeloid leukemia with normal karyot...
Let G be a connected reductive linear algebraic group. We use geometric methods to investigate G-completely reducible subgroups of G, giving new criteria for G-complete reducibility. We show that a subgroup of G is G-completely reducible if and only if it is strongly reductive in G; this allows us to use ideas of R.W. Richardson and Hilbert– Mumford–Kempf from geometric invariant theory. We ded...
In class, we have proved the important fact that over any field k, a non-solvable connected reductive group containing a 1-dimensional split maximal k-torus is k-isomorphic to SL2 or PGL2. That proof relied on knowing that maximal tori remain maximal after a ground field extension to k, and so relies on Grothendieck’s theorem. But for algebraically closed fields there is no content to Grothendi...
All groups considered are finite. Given a group G, the Frattini subgroup of G, Q(G) is defined to be the intersection of all maximal subgroups of G. There has been much interest in generalizing the Frattini subgroup in various ways, and in investigating their influence on the structure of the group (see [3,.5,8,12,13]). These generalizations were done taking into account the following question:...
Let F2,d denote the free class-2-nilpotent group on d generators. We compute the normal zeta functions ζ F2,d(s), prove that they satisfy local functional equations and determine their abscissae of convergence and pole orders.
We study the base sizes of finite quasiprimitive permutation groups twisted wreath type, which are precisely with a unique minimal normal subgroup that is also non-abelian, non-simple and regular. Every group type isomorphic to product G=Tk:P acting on its Ω=Tk, where T some non-abelian simple P transitively k={1,…,k} k⩾2. prove if G primitive Ω k, then has size 2. proportion pairs points bases...
We show that the normal closure of any periodic element mapping class group a nonorientable surface whose order is greater than 2 contains commutator subgroup, which for g≥7 equal to twist and provide necessary sufficient conditions closures involutions contain subgroup. Finally, we criterion normally generate M(Ng) give examples.
a subgroup h of a group g is called inert if, for each $gin g$, the index of $hcap h^g$ in $h$ is finite. we give a classification of soluble-by-finite groups $g$ in which subnormal subgroups are inert in the cases where $g$ has no nontrivial torsion normal subgroups or $g$ is finitely generated.
in this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. furthermore,...
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