Results 41 to 50 of about 94 (79)
Generating Fast Fourier Transforms of Solvable Groups
, 2006 This paper presents a new algorithm for constructing a complete list of pairwise inequivalent ordinary irreducible representations of a finite solvable group G.
M. Müller, M. Clausen
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On the Prime Divisors of Conjugacy Lengths of Solvable Groups
, 2008 Suppose that G is a finite group. We prove that if G/F (G) is solvable of odd order or supersolvable; and G does not contain abelian normal non-central Sylow subgroups, then |cρ(G)| ≤ 3cσ(G). Let m be the total number of abelian Sylow subgroups and n the
Liguo He
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THE NORMAL INDEX OF SUBGROUPS IN FINITE GROUPS
, 2010 In this paper, we shall generalize the concept of the normal index and obtain the characterizations for a finite group to be solvable, p-solvable, p-nilpotent and supersolvable.
Xianhua Li, Xia Yin
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On the Block Structure of Supersolvable Restricted Lie Algebras
, 1996 Block theory is an important tool in the modular representation theory of finite groups (cf.[18]). Apart from a few papers (e.g. [17, 13, 16]) dealing with restricted simple Lie algebras there apparently has been no effort to do the same for other ...
Feldvoss, Jörg
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Notes on non-vanishing elements of finite solvable groups
, 2012 Let G be a nite solvable group. The element g ? G is said to be a non-vanishing element of G if X(g) = 0 for all X ? Irr (G). It is conjectured that all of non-vanishing elements of G lie in its Fitting subgroup F(G).
Husna Zayadi
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C-Ideals of Lie Algebras. [PDF]
, 2009 A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of L contained in B.
Towers, David A.
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Sylow Numbers of Finite Groups
, 1995 A natural number n is said to be a Sylow number for a finite group G if n is the of Sylow p-subgroups of G for some prime p. We initiate in this paper a systematic study on how arithmetical conditions on Sylow numbers influence the group structure.
ZHANG, JP, Zhang, J.P.
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The influence of SS-quasinormality of some subgroups on the structure of finite groups
, 2008 The following concept is introduced: a subgroup H of the group G is said to be SS-quasinormal (Supplement-Sylow-quasinormal) in G if H possesses a supplement B such that H permutes with every Sylow subgroup of B.
Shen, Zhencai +3 more
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On $\mathrm{K}\mathfrak F$-subnormality and submodularity in a finite group
, 2023 Let $\mathfrak F$ be a formation and let $G$ be a group. A subgroup $H$ of $G$ is $\mathrm{K}\mathfrak F$-subnormal (submodular) in $G$ if there is a subgroup chain $H=H_0\le \ H_1 \le \ \ldots \le H_i \leq H_{i+1}\le \ldots \le \ H_n=G$ such that for ...
Monakhov, Victor S., Sokhor, Irina L.
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Zeros of irreducible characters of funite groups
, 2022 Representation Theory of finite groups through matrices over complex num- bers was initiated primarily by G. Frobenius, with the significant contribution of I. Schur. A great amount of Frobenius’ results were proven independently from W.
Σπιθάκη, Νίκη
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