Results 41 to 50 of about 158,446 (145)
A new result on factorization of finite groups
Nantong Daxue xuebao. Ziran kexue ban, 2023 Letτbe a subgroup functor.τis said regular if for all groups G,whenever H∈τ(G) is a p-subgroup and N is a minimal normal subgroup of G,then ︳G:HG(H∩N)︳ is a power of p.With the help of the notion and properties of regular subgroup functor,factorization ...
LI Baojun; WU Yan
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On the Regular Power Graph on the Conjugacy Classes of Finite Groups [PDF]
Mathematics Interdisciplinary Research, 2018 The (undirected) power graph on the conjugacy classes PC(G) of a group G is a simple graph in which the vertices are the conjugacy classes of G and two distinct vertices C and C' are adjacent in PC(G) if one is a subset of a power of the other.
Sajjad Mahmood Robati
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Ωζ-foliated Fitting Classes [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 All groups under consideration are assumed to be finite. For a nonempty subclass of Ω of the class of all simple groups I and the partition ζ = {ζi | i ∈ I}, where ζi is a nonempty subclass of the class I, I = ∪i∈I ζi and ζi ∩ ζj = ø for all i ≠ j, ΩζR ...
Kamozina, Olesia V.
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Residual Properties of Nilpotent Groups
Моделирование и анализ информационных систем, 2015 Let π be a set of primes. Recall that a group G is said to be a residually finite π-group if for every nonidentity element a of G there exists a homomorphism of the group G onto some finite π-group such that the image of the element a differs from 1.
D. N. Azarov
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FINITE -GROUPS WITH SMALL AUTOMORPHISM GROUP [PDF]
Forum of Mathematics, Sigma, 2015 For each prime$p$we construct a family$\{G_{i}\}$of finite$p$-groups such that$|\text{Aut}(G_{i})|/|G_{i}|$tends to zero as$i$tends to infinity. This disproves a well-known conjecture that$|G|$divides$|\text{Aut}(G)|$for every nonabelian finite$p$-group$G$.
JON GONZÁLEZ-SÁNCHEZ +1 more
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Some Residual Properties of Finite Rank Groups
Моделирование и анализ информационных систем, 2014 The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
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Implication-Based Neutrosophic Finite State Machine over a Finite Group [PDF]
Neutrosophic Sets and SystemsIn this paper, we define and investigate the concept of the implication-based neutrosophic finite state machine (IB-IFSA) over a finite group. Building upon the framework of neutrosophic logic, we introduce the implication-based neutrosophic kernel and ...
S. Jafari +3 more
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On the permutability of Sylow subgroups with derived subgroups of B-subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2019 A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2 ...
Ekaterina V. Zubei
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FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS
Journal of the London Mathematical Society, 2006 It is proved that the finite soluble groups can be characterized among finite groups by a first-order sentence, namely, the sentence that asserts that no non-trivial element $g$ is a product of 56 commutators $[x,y]$ with entries $x$, $y$ conjugate to $g$.
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Generators of Maximal Subgroups of Harada-Norton and some Linear Groups
Open Chemistry, 2019 Group theory, the ultimate theory for symmetry, is a powerful tool that has a direct impact on research in robotics, computer vision, computer graphics and medical image analysis.
Liu Jia-Bao +3 more
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