Abnormal subgroups and Carter subgroups in some infinite groups

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Authors: Kurdachenko, L.A., Subbotin, I.Ya.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156610
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Abnormal subgroups and Carter subgroups in some infinite groups / L.A. Kurdachenko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 69–83. — Бібліогр.: 25 назв. — англ.

t. Some properties of abnormal subgroups in generalized soluble groups are considered. In particular, the transitivity
 of abnormality in metahypercentral groups is proven. Also it is
 proven that a subgroup H of a radical group G is abnormal in G
 if and only if every interm...