# On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4

## Abstract

This paper describes the chief factors of the commutator subgroups of finite nonsolvable groups G with disconnected Gruenberg–Kegel graph having exactly 5 vertices in the case where G/F(G) is an almost simple n-primary group for n ≤ 4.

- Authors:

- N. N. Krasovskii Institute of Mathematics and Mechanics UB RAS (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771354

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 230; Journal Issue: 3; Conference: 5. All-Russian symposium on abelian groups, Biysk (Russian Federation), 20-25 Aug 2012; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; COMMUTATORS; GRAPH THEORY; GROUP THEORY

### Citation Formats

```
Kolpakova, V. A., E-mail: leralid@mail.ru, and Kondrat’ev, A. S., E-mail: a.s.kondratiev@imm.uran.ru.
```*On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3746-8.

```
Kolpakova, V. A., E-mail: leralid@mail.ru, & Kondrat’ev, A. S., E-mail: a.s.kondratiev@imm.uran.ru.
```*On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4*. United States. doi:10.1007/S10958-018-3746-8.

```
Kolpakova, V. A., E-mail: leralid@mail.ru, and Kondrat’ev, A. S., E-mail: a.s.kondratiev@imm.uran.ru. Sun .
"On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4". United States. doi:10.1007/S10958-018-3746-8.
```

```
@article{osti_22771354,
```

title = {On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4},

author = {Kolpakova, V. A., E-mail: leralid@mail.ru and Kondrat’ev, A. S., E-mail: a.s.kondratiev@imm.uran.ru},

abstractNote = {This paper describes the chief factors of the commutator subgroups of finite nonsolvable groups G with disconnected Gruenberg–Kegel graph having exactly 5 vertices in the case where G/F(G) is an almost simple n-primary group for n ≤ 4.},

doi = {10.1007/S10958-018-3746-8},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 3,

volume = 230,

place = {United States},

year = {2018},

month = {4}

}

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