The norm N(G) of a group G is the intersection of normalizers of all the subgroups of G. Let G be a finite group, p a prime dividing the order of G, and P a Sylow p-subgroup of G. In this paper, it is proved that G is p-nilpotent if Ω1(P) ≤ N(NG(P)), and when...
Norm πF-norm πF-hypercentre F-maximal subgroups F-critical group 1. Introduction All groups considered in this paper are finite, and all classes of groups X mentioned are non-empty. G always denotes a group, p denotes a prime, π denotes a set of primes, and P denotes the set of ...
On the πF-norm and the H-F-norm of a finite group 2014, Journal of Algebra Citation Excerpt : Statement (1) was proved in [16, Proposition 4.9(ii)], and statement (2) follows from [26, Lemma 5.2] and [16, Proposition 4.9(i)]. The next two corollaries can be regarded as gene...
On top of the cupboards are vast straw baskets which Pat uses for dried flower arrangements... 橱柜顶上摆着帕特用来插干花的大草篮。 柯林斯高阶英语词典 I admired the peeling paint on the ceiling... 我“观赏”着天花板上正在剥落的油漆。 柯林斯高阶英语词典 The clock on the wall showed one ...
Letbe an inner form of a general linear group over a non-Archimedean local field. We fix an arbitrary irreducible representationof. Building on the work of Lapid-Mínguez on the irreducibility of parabolic inductions, we show how to define a full subcategory of the category of smooth represent...
norm of \(g_2\) is at most \(c_\delta \) and each element of \(\nabla ^2 f\) is bounded in absolute value by \(d_\delta \) ; we denote this event by \(a_\delta \) . now let \(i_{mj}\) be a collection of open intervals in \({\mathbb {r}}\) such that \([...
Norm Pethrick, who with his wife had been collecting water, immediately went to help her. He jumped onto the back, poked (戳) the eyes of the crocodile and finally got his wife free. Ms Pethrick was later taken to Royal Darwin Hospital for a medical treatment. The doctors said she was...
Once every ten years or so, Kansas City can expect to have at least one day each summer where the high temperature reaches 105 degrees. People and wildlife generally survive this 14 degree short term departure from the norm. Now, let us add 14 degrees to the expected increase in the ...
In this paper we characterize the compact operators on the weighted Bergman spaces A pα ( B n ) when 1 < p < ∞ and α > 1. The main result shows that an operator on A pα ( B n ) is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform vanish...
Operation ID: StringExtNormPhone Convert letters into numbers using a phone keypad. I.E. 1-800-flowers -> 1-800-3569377 Parameters 展开表 NameKeyRequiredTypeDescription Input Input True string The value to be altered. Returns Body DQGlobal ...