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A Criterion for the existence of nilpotent Hall Ï-subgroups by Ahanjideh, Neda is a Mathematics article available to read on EtoBox.

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Let [Formula: see text] be a nontrivial normal subgroup of [Formula: see text] and [Formula: see text]. In this paper, we show that if [Formula: see text] and for every [Formula: see text]-element [Formula: see text] with [Formula: see text], [Formula: see text], for some integer [Formula: see text], then [Formula: see text] has nilpotent Hall [Formula: see text]-subgroups. Further, we show that if [Formula: see text], then [Formula: see text] has abelian Hall [Formula: see text]-subgroups.

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Author

Ahanjideh, Neda

Publisher

World Scientific Pub Co Pte Ltd

Published

2020

Language

EN

ISBN

9780219498829

Field

Mathematics (Physical Sciences)