Results 21 to 30 of about 897 (256)

A characterization of $A_5$ by its average order [PDF]

International Journal of Group Theory
Let $o(G)$ be the average order of a finite group $G$. M. Herzog, P. Longobardi and M. Maj [M. Herzog, P. Longobardi and M. Maj, Another criterion for solvability of finite groups, J. Algebra, 597 (2022) 1-23.] showed that if $G$ is non-solvable and $o(G)
Marius Tarnauceanu
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Finite solvable c-groups [PDF]

Journal of the Australian Mathematical Society, 1967
A group G is called a c-group if each of its subnormal subgroups is characteristic in G. It is the object of this note to give a characterization of finite solvable c-groups.
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On non-normal cyclic subgroups of prime order or order 4 of finite groups

Open Mathematics, 2021
In this paper, we call a finite group GG an NLMNLM-group (NCMNCM-group, respectively) if every non-normal cyclic subgroup of prime order or order 4 (prime power order, respectively) in GG is contained in a non-normal maximal subgroup of GG.
Guo Pengfei, Han Zhangjia
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On bipartite divisor graph for character degrees [PDF]

International Journal of Group Theory, 2017
‎‎The concept of the bipartite divisor graph for integer subsets has been considered in [M‎. ‎A‎. ‎Iranmanesh and C‎. ‎E‎. ‎Praeger‎, ‎Bipartite divisor graphs for integer subsets‎, Graphs Combin.‎,  26 (2010) 95--105.]‎.
Seyed Ali Moosavi
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Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index

Journal of Harbin University of Science and Technology, 2023
In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
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Counting homomorphisms onto finite solvable groups

Journal of Algebra, 2005
30 pages; accepted for publication in the Journal of ...
Matei, Daniel, Suciu, Alexander I.
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A Study On the Kernels of Irreducible Characters of Finite Groups

Cumhuriyet Science Journal, 2022
Let G be a finite group and χ∈Irr(G), where Irr(G) denotes the set of all irreducible characters of G. The kernel of χ is defined by ker⁡(χ)={ g∈G ┤| χ(g)=χ(1)}, where χ(1) is the character degree of χ. The irreducible character χ of G is called as
Temha Erkoç, Burcu Çınarcı
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Some results on π-solvable and supersolvable groups

International Journal of Mathematics and Mathematical Sciences, 1994
For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
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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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Exponential and weakly exponential subgroups of finite groups [PDF]

International Journal of Group Theory
Sabatini [L. Sabatini, Products of subgroups, subnormality, and relative orders of elements, Ars Math. Contemp., 24 no. 1 (2024) 9 pp.] defined a subgroup $H$ of $G$ to be an exponential subgroup if $x^{|G:H|} \in H$ for all $x \in G$, in which case we ...
Eric Swartz, Nicholas J. Werner
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