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Dergiler / International Electronic Journal of Algebra / 2026 / Volume: 7 Issue: 7

NEW CRITERIA FOR p-NILPOTENCE OF FINITE GROUPS

Shitian Liu
Sayfa
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Yayın Tarihi
2010-06-01
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we investigate the structure of a finite group G under the assumption that certain subgroups are X-g pronormal, where X = F(G) is the Fitting subgroup of G.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A subgroup H is X-g pronormal in G if, for H, X ≤ G and g ∈ G, H ∩ X and Hg ∩ X are conjugate in J = hH ∩ X, Hg ∩ Xi.
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Temel Bulgular & Veri:A subgroup H is X-g pronormal in G if, for H, X ≤ G and g ∈ G, H ∩ X and Hg ∩ X are conjugate in J = hH ∩ X, Hg ∩ Xi.
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Sonuç & Katkı:In this paper, we investigate the structure of a finite group G under the assumption that certain subgroups are X-g pronormal, where X = F(G) is the Fitting subgroup of G.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:F(G)-g pronormal subgroups · Sylow p-subgroup · maximal subgroups

Abstract

A subgroup H is X-g pronormal in G if, for H, X ≤ G and g ∈ G, H ∩ X and Hg ∩ X are conjugate in J = hH ∩ X, Hg ∩ Xi. In this paper, we investigate the structure of a finite group G under the assumption that certain subgroups are X-g pronormal, where X = F(G) is the Fitting subgroup of G.

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Bu Makaleye Atıf Yap

Liu, S. (2010). NEW CRITERIA FOR p-NILPOTENCE OF FINITE GROUPS. International Electronic Journal of Algebra, Volume: 7 Issue: 7. https://ajindex.com/articles/1588311

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Kaynakça (16)

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