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On S-semipermutable or S-permutably embedded subgroups of finite groups

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1 Published in 2017 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-016-0674-2

Abstract: We extend some known results concerning S-semipermutable subgroups and S-permutably embedded subgroups. In particular, we generalize the main results of Kong [15] and Li et al. [11]. read more here.

Keywords: finite groups; semipermutable permutably; embedded subgroups; permutably embedded ... See more keywords

On the Crossing of Maximal Subgroups of Finite Groups

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1 Published in 2020 at "Ukrainian Mathematical Journal"

DOI: 10.1007/s11253-020-01740-x

Abstract: We establish the structure of normal subgroups in θ -Frattini extensions, where θ is a subgroup functor. For a local Fitting structure F $$ \mathfrak{F} $$ containing all nilpotent groups, it is shown that, in… read more here.

Keywords: finite groups; maximal subgroups; structure; mathfrak ... See more keywords

p-Hypercyclically embedding and Π-property of subgroups of finite groups

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0 Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2016.1236939

Abstract: ABSTRACT Let G be a finite group, E a normal subgroup of G and p a fixed prime. We say that E is p-hypercyclically embedded in G if every p-G-chief factor of E is cyclic.… read more here.

Keywords: finite groups; embedding property; property; subgroups finite ... See more keywords

The number of subgroups of a finite group (II)

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1 Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1527918

Abstract: Abstract Let A be a finite group, and let p be a prime. Suppose that ps is the highest power of p dividing , where is the commutator subgroup of A, and that the type… read more here.

Keywords: number subgroups; subgroups finite; finite group;

On m-S-supplemented subgroups of finite groups

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1 Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1539171

Abstract: Abstract Let G be a finite group and H a subgroup of G. We say that H is m-S-permutable in G, if for some modular subgroup A and S-permutable subgroup B of G; m-S-supplemented in… read more here.

Keywords: finite groups; subgroup; subgroups finite; supplemented subgroups ... See more keywords

On weakly -supplemented subgroups of finite groups

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1 Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1910701

Abstract: Abstract A subgroup H of a group G is said to be weakly -supplemented in G if there exists a subgroup B of G provided that (1) G = HB, and (2) if is a… read more here.

Keywords: finite groups; subgroups finite; weakly supplemented; supplemented subgroups ... See more keywords

On Fh-supplemented subgroups of finite groups

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1 Published in 2017 at "Siberian Mathematical Journal"

DOI: 10.1134/s0037446617040188

Abstract: Suppose that F is a formation of finite groups. We introduce the concept of Fh-supplemented subgroups and investigate the structure of finite groups on assuming that some maximal subgroups of Sylow subgroups, maximal subgroups, minimal… read more here.

Keywords: finite groups; subgroups finite; supplemented subgroups;

On Prime Spectrum of Maximal Subgroups in Finite Groups

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1 Published in 2018 at "Algebra Colloquium"

DOI: 10.1142/s1005386718000408

Abstract: For a positive integer n, we denote by π(n) the set of all prime divisors of n. For a finite group G, the set [Formula: see text] is called the prime spectrum of G. Let… read more here.

Keywords: maximal subgroups; see text; formula see; prime spectrum ... See more keywords

Number of Sylow subgroups in finite groups

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1 Published in 2017 at "Journal of Group Theory"

DOI: 10.1515/jgth-2018-0010

Abstract: Abstract Denote by νp⁢(G){\nu_{p}(G)} the number of Sylow p-subgroups of G. It is not difficult to see that νp⁢(H)⩽νp⁢(G){\nu_{p}(H)\leqslant\nu_{p}(G)} for H⩽G{H\leqslant G}, however νp⁢(H){\nu_{p}(H)} does not divide νp⁢(G){\nu_{p}(G)} in general. In this paper we reduce… read more here.

Keywords: sylow subgroups; number sylow; subgroups finite; finite groups ... See more keywords

On σ-Residuals of Subgroups of Finite Soluble Groups

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2 Published in 2023 at "Mathematics"

DOI: 10.3390/math11102343

Abstract: Let σ={σi:i∈I} be a partition of the set of all prime numbers. A subgroup H of a finite group G is said to be σ-subnormal in G if H can be joined to G by… read more here.

Keywords: finite soluble; subgroup; subgroups finite; soluble groups ... See more keywords