Email this article A Characterization of the Gaschütz Subgroup of a Finite Soluble Group
- Authors: Kamornikov S.F.1
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Affiliations:
- International University “MITSO”
- Issue: Vol 233, No 1 (2018)
- Pages: 42-49
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241516
- DOI: https://doi.org/10.1007/s10958-018-3924-8
- ID: 241516
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Abstract
Let H be an \( \mathfrak{N} \)-prefrattini subgroup of a soluble finite group G and Δ(G) be its Gaschütz subgroup. In this paper, it is proved that there exist elements x, y ∈ G such that the equality H∩Hx∩Hy = Δ(G) holds.
About the authors
S. F. Kamornikov
International University “MITSO”
Author for correspondence.
Email: sfkamornikov@mail.ru
Belarus, Gomel
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