### Abstract

A Hall subgroup H of a finite group G is a subgroup whose order is relatively prime to its index. We show that if H is solvable and if the way prime power elements of H are conjugate in G is restricted, then G has a quotient isomorphic to H. Suppose H is a Hall subgroup of G.

Original language | English (US) |
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Pages (from-to) | 241-243 |

Number of pages | 3 |

Journal | Proceedings of the American Mathematical Society |

Volume | 27 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1971 |

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### All Science Journal Classification (ASJC) codes

- Applied Mathematics
- Mathematics(all)

### Cite this

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*Proceedings of the American Mathematical Society*, vol. 27, no. 2, pp. 241-243. https://doi.org/10.1090/S0002-9939-1971-0269742-7

**Complements to solvable hall subgroups.** / Gilman, Robert.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Complements to solvable hall subgroups

AU - Gilman, Robert

PY - 1971/1/1

Y1 - 1971/1/1

N2 - A Hall subgroup H of a finite group G is a subgroup whose order is relatively prime to its index. We show that if H is solvable and if the way prime power elements of H are conjugate in G is restricted, then G has a quotient isomorphic to H. Suppose H is a Hall subgroup of G.

AB - A Hall subgroup H of a finite group G is a subgroup whose order is relatively prime to its index. We show that if H is solvable and if the way prime power elements of H are conjugate in G is restricted, then G has a quotient isomorphic to H. Suppose H is a Hall subgroup of G.

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UR - http://www.scopus.com/inward/citedby.url?scp=84968513270&partnerID=8YFLogxK

U2 - https://doi.org/10.1090/S0002-9939-1971-0269742-7

DO - https://doi.org/10.1090/S0002-9939-1971-0269742-7

M3 - Article

VL - 27

SP - 241

EP - 243

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -