Complementation of Normal Subgroups: In Finite Groups

ISBN-13: 9783110478792 / Angielski / Twarda / 2017 / 156 str.

Joseph Kirtland

Opis

Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented

Recenzje

"This book includes many interesting historical remarks and discusses the topic of complementation from many different perspectives, which makes it a valuable reference point on the subject."
Rebecca A. H. Waldecker in: Mathematical Reviews Clippings (10.2018), MR3727140

O autorze

Joseph Kirtland, Marist College, NY, USA.