On c|normal subgroups of finite groups

On c-normal subgroups of some classes of finite groups (Chapter 26)

A subgroup H is called c-normal in a group G if there exists a normal subgroup N of G such that HN = G and H ∩ N ≤ HG, where HG ≕ Core(H) is the maximal normal ...

On c*-normal subgroups in finite groups - SpringerLink

A subgroup H of a finite group G is called a c*-normal subgroup of G if there exists a normal subgroup K of G such that G = HK and H ⊂ K is ...

On cp-normal subgroups of finite groups - Taylor & Francis Online

Let H be a subgroup of a finite group G and let p a fixed prime dividing the order of G. A subgroup H of G is said to be cp-normal in G if there exists a normal ...

On c-Normal Subgroups of Finite Groups - Taylor & Francis Online

We use to denote the class of all supersoluble groups. Following Wang (Citation1995), we say that a subgroup H of a group G is c-normal in G if there exists ...

OnCSQ-normal subgroups of finite groups - EuDML

top We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure ...

(PDF) On -Normal Subgroups of Finite Groups - ResearchGate

Let G be a finite group. We say that a subgroup H of G is -normal in G if G has a subnormal subgroup T such that TH = G and (H ∩ T)HG/HG is ...

On c-Normal Subgroups of Finite Groups - SpringerLink

A subgroup H is said to be c-normal in a group G if there exists a normal subgroup K of G such that G = HK and H ∩ K is contained in H G , where H G is the ...

On blocks of normal subgroups of finite groups - Project Euclid

For a block b b of a normal subgroup of a finite group G G , E.C. Dade has defined a subgroup G[b] G [ b ] of G G . We give a character-theoretical ...

(PDF) On c*-normal subgroups in finite groups - ResearchGate

PDF | A subgroup H of a finite group G is called a c*-normal subgroup of G if there exists a normal subgroup K of G such that G = HK and H ...

On c-supplemented subgroups of finite groups - ScienceDirect.com

A subgroup H of G is said to be c-supplemented in G if there exists a subgroup K of G such that G = H K and H ∩ K ⩽ H G , where H G = ⋂ g ∈ G H ...

When are all normal subgroups of a direct product of finite groups a ...

1 Answer 1 ; and ; be finite groups. Then every normal subgroup of ; ×G2 is of the form ; ×N2 with ; ◃Gi if and only if for any ...

[2206.14799] On $c$-embedded subgroups of finite groups - arXiv

Given a finite group G, a prime number p and a Sylow p-subgroup P of G, we investigate the structure of G under the assumption that N_G(P) is p- ...

The influence of c-normality of subgroups on the structure of finite ...

A subgroup H of a finite group G is said to be c-normal in G if there is a normal subgroup N of G such that HN=G and H∩N≤HG=coreG(H).

Minimal normal subgroups of a finite group - MathOverflow

For finite solvable groups, things are a little more complicated. A minimal normal subgroup must be elementary abelian, and so if g is in Soc(G) ...

The c∗ -Normal Subgroups of Finite Groups 1 Introduction - m-hikari

All groups considered here will be finite. A subgroup H of a group G is said to be S-quasinormal(π-quasinormal) in G if H permutes with every sy-.

[PDF] The c∗-Normal Subgroups of Finite Groups | Semantic Scholar

H is c∗-normal in G if there is a normal subgroup K1 ≤ G such that G = HK1 and H ∩K1 is S-quasinormally embedded in G. In this paper, we will give some ...

On c-normal subgroups of finite groups

Some theorems of solvable groups, p-nilpotent groups and supersolvable groups are obtained by considering their c-normal subgroups. Some results in [3]–[6] are ...

Normal subgroup - Wikipedia

Properties · If H {\displaystyle H} · A normal subgroup of a normal subgroup of a group need not be normal in the group. · The two groups G {\displaystyle G} · If ...

A note on c-normal subgroups of finite groups - Math-Net.Ru

2000 Mathematics Subject Classification: 20D20. Key words and phrases: finite group, supersoluble group, c-normal subgroup, maximal subgroup, Sylow subgroup..

A note on $c$-normal subgroups of finite groups

Throughout this paper, all groups are finite. Following [1], we say that a subgroup H of a group G is c-normal in G if there exists a normal.