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weakly totally permutable products and fitting classes
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نویسنده
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madanha sesuai
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منبع
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international journal of group theory - 2021 - دوره : 10 - شماره : 1 - صفحه:31 -38
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چکیده
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It is known that if 𝐺 = 𝐴𝐵 is a product of its totally permutable subgroups 𝐴 and 𝐵, then 𝐺 ∈ 𝔉 if and only if 𝐴 ∈ f and 𝐵 ∈ 𝔉 when f is a fischer class containing the class 𝔘 of supersoluble groups. we show that this holds when 𝐺 = 𝐴𝐵 is a weakly totally permutable product for a particular fischer class, 𝔉 ⋄ 𝔜, where 𝔉 is a fitting class containing the class 𝔘 and 𝔜 a class of nilpotent groups. we also extend some results concerning the 𝔘-hypercentre of a totally permutable product to a weakly totally permutable product
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کلیدواژه
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weakly totally permutable products ,mutually permutable products ,fitting classes
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آدرس
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university of pretoria, department of mathematics and applied mathematics, south africa
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پست الکترونیکی
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sesuai.madanha@up.ac.za
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Authors
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