# Groups with Almost Regular and Almost Perfect Involutions

## Abstract

We establish the solubility of a group with Sylow 2-subgroup of the least order in the centralizer of an almost regular involution. We also study the structure of a group G with an almost perfect and almost regular involution a.

- Authors:

- Khristianovich Institute of Theoretical and Applied Mechanics SB RAS (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771404

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 230; Journal Issue: 1; 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; GROUP THEORY; INCLUSIONS; MATHEMATICAL SOLUTIONS; SOLUBILITY

### Citation Formats

```
Korobov, O. A., E-mail: oleg0101@ngs.ru.
```*Groups with Almost Regular and Almost Perfect Involutions*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3727-Y.

```
Korobov, O. A., E-mail: oleg0101@ngs.ru.
```*Groups with Almost Regular and Almost Perfect Involutions*. United States. doi:10.1007/S10958-018-3727-Y.

```
Korobov, O. A., E-mail: oleg0101@ngs.ru. Sun .
"Groups with Almost Regular and Almost Perfect Involutions". United States. doi:10.1007/S10958-018-3727-Y.
```

```
@article{osti_22771404,
```

title = {Groups with Almost Regular and Almost Perfect Involutions},

author = {Korobov, O. A., E-mail: oleg0101@ngs.ru},

abstractNote = {We establish the solubility of a group with Sylow 2-subgroup of the least order in the centralizer of an almost regular involution. We also study the structure of a group G with an almost perfect and almost regular involution a.},

doi = {10.1007/S10958-018-3727-Y},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 1,

volume = 230,

place = {United States},

year = {2018},

month = {4}

}

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