### Abstract

We present an offender theory that is symmetric in offender and offended group and also a replacement theorem that does not need that the groups in question are abelian. We then use this theory to define variations of Thompson and Baumann subgroups and prove a general Baumann argument.

Language | English (US) |
---|---|

Pages | 264-288 |

Number of pages | 25 |

Journal | Journal of Algebra |

Volume | 495 |

DOIs | |

State | Published - Feb 1 2018 |

### Profile

### Keywords

- Baumann argument
- Finite group theory
- Offenders
- Replacement theorem
- Thompson and Baumann subgroup

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Journal of Algebra*,

*495*, 264-288. DOI: 10.1016/j.jalgebra.2017.11.005

**General offender theory.** / Meierfrankenfeld, U.; Parmeggiani, G.; Stellmacher, B.

Research output: Contribution to journal › Article

*Journal of Algebra*, vol. 495, pp. 264-288. DOI: 10.1016/j.jalgebra.2017.11.005

}

TY - JOUR

T1 - General offender theory

AU - Meierfrankenfeld,U.

AU - Parmeggiani,G.

AU - Stellmacher,B.

PY - 2018/2/1

Y1 - 2018/2/1

N2 - We present an offender theory that is symmetric in offender and offended group and also a replacement theorem that does not need that the groups in question are abelian. We then use this theory to define variations of Thompson and Baumann subgroups and prove a general Baumann argument.

AB - We present an offender theory that is symmetric in offender and offended group and also a replacement theorem that does not need that the groups in question are abelian. We then use this theory to define variations of Thompson and Baumann subgroups and prove a general Baumann argument.

KW - Baumann argument

KW - Finite group theory

KW - Offenders

KW - Replacement theorem

KW - Thompson and Baumann subgroup

UR - http://www.scopus.com/inward/record.url?scp=85034110757&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85034110757&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2017.11.005

DO - 10.1016/j.jalgebra.2017.11.005

M3 - Article

VL - 495

SP - 264

EP - 288

JO - Journal of Algebra

T2 - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -