NDLI: A note on groups paralyzing a subgroup series

Content Provider	Springer Nature Link
Author	Darda, Ulderico Franchi, Clara
Copyright Year	2001
Abstract	We consider groups Γ of automorphisms of a groupG acting by means of power automorphisms on the factors of a normal series inG with lengthm. We show that [G, Γ] is nilpotent with class at mostm and that this bound is best possible. Moreover, such a Γ is parasoluble with paraheight at most 1/2m(m+3)+1, provided Γ′ is periodic. We give best possible bound in the case where the series is a central one.
Starting Page	165
Ending Page	170
Page Count	6
File Format	PDF
ISSN	0009725X
Journal	Rendiconti del Circolo Matematico di Palermo
Volume Number	50
Issue Number	1
e-ISSN	19734409
Language	English
Publisher	Springer-Verlag
Publisher Date	2001-01-01
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Supersoluble group parasoluble group power automorphism Automorphism groups of groups Automorphisms of infinite groups Mathematics Algebra Geometry Analysis Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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A note on groups paralyzing a subgroup series