### Abstract

Let p be a fixed prime and G a finite group. A proper subgroup X < G is called a p-intersection subgroup if X ∩ X^{g} is a p-group for each g ∈ G\X, but X is not a p-group. In this paper we classify the p-intersection subgroups in the quasi-simple and almost simple finite groups.

Original language | English (US) |
---|---|

Pages (from-to) | 1-42 |

Number of pages | 42 |

Journal | Journal of Algebra |

Volume | 207 |

Issue number | 1 |

State | Published - Sep 1 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Journal of Algebra*,

*207*(1), 1-42.

**The p-intersection subgroups in quasi-simple and almost simple finite groups.** / Fleischmann, P.; Lempken, W.; Tiep, Pham Huu.

Research output: Contribution to journal › Article

*Journal of Algebra*, vol. 207, no. 1, pp. 1-42.

}

TY - JOUR

T1 - The p-intersection subgroups in quasi-simple and almost simple finite groups

AU - Fleischmann, P.

AU - Lempken, W.

AU - Tiep, Pham Huu

PY - 1998/9/1

Y1 - 1998/9/1

N2 - Let p be a fixed prime and G a finite group. A proper subgroup X < G is called a p-intersection subgroup if X ∩ Xg is a p-group for each g ∈ G\X, but X is not a p-group. In this paper we classify the p-intersection subgroups in the quasi-simple and almost simple finite groups.

AB - Let p be a fixed prime and G a finite group. A proper subgroup X < G is called a p-intersection subgroup if X ∩ Xg is a p-group for each g ∈ G\X, but X is not a p-group. In this paper we classify the p-intersection subgroups in the quasi-simple and almost simple finite groups.

UR - http://www.scopus.com/inward/record.url?scp=0032162240&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032162240&partnerID=8YFLogxK

M3 - Article

VL - 207

SP - 1

EP - 42

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -