Results 21 to 30 of about 16,107,577 (322)
Characterizations of Fitting p-Groups whose Proper Subgroups are Solvable [PDF]
Advances in Group Theory and Applications, 2017 This work continues the study of infinitely generated groups whose proper subgroups are solvable and in whose homomorphic images normal closures of finitely generated subgroups are residually nilpotent. In [4], it has been shown that such a group, if not
A.O. Asar
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Good representations and solvable groups [PDF]
, 2000 We give a characterization of connected solvable groups in terms of the existence of representations with certain geometric properties. The existence of such representations for the group of upper triangular matrices played an important role in the proof
Edidin, Dan, Graham, William
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Some remarks on unipotent automorphisms [PDF]
International Journal of Group Theory, 2020 An automorphism $\alpha$ of the group $G$ is said to be $n$-unipotent if $[g,_n\alpha]=1$ for all $g\in G$. In this paper we obtain some results related to nilpotency of groups of $n$-unipotent automorphisms of solvable groups.
Orazio Puglisi, Gunnar Traustason
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Finite groups with 4p2q elements of maximal order
Open Mathematics, 2021 It is an interesting and difficult topic to determine the structure of a finite group by the number of elements of maximal order. This topic is related to Thompson’s conjecture, that is, if two finite groups have the same order type and one of them is ...
Tan Sanbiao, Chen Guiyun, Yan Yanxiong
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Classification of left invariant metrics on 4-dimensional solvable Lie groups [PDF]
Theoretical and Applied Mechanics, 2020 In this paper the complete classification of left invariant metrics of arbitrary signature on solvable Lie groups is given. By identifying the Lie algebra with the algebra of left invariant vector fields on the corresponding Lie group 𝐺, the ...
Šukilović Tijana
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On the character degree graph of solvable groups [PDF]
, 2017 Let \(G\) be a finite solvable group, and let \(\Delta(G)\) denote the \emph{prime graph} built on the set of degrees of the irreducible complex characters of \(G\). A fundamental result by P.P.
Z. Akhlaghi +4 more
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International Journal of Mathematics and Mathematical Sciences, 1997 Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains.
Yanming Wang
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Solvable groups derived from fuzzy hypergroups
Ratio Mathematica, 2015 In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group.
E. Mohammadzadeh, T. Nozari
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Solvable groups of interval exchange transformations [PDF]
, 2017 We prove that any finitely generated torsion free solvable subgroup of the group ${\rm IET}$ of all Interval Exchange Transformations is virtually abelian.
Franccois Dahmani +2 more
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A note on p-solvable and solvable finite groups
International Journal of Mathematics and Mathematical Sciences, 1994 The notion of normal index is utilized in proving necessary and sufficient conditions for a group G to be respectively, p-solvable and solvable where p is the largest prime divisor of |G|.
R. Khazal, N. P. Mukherjee
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