6533b86efe1ef96bd12ccae0

RESEARCH PRODUCT

Injectors with a normal complement in a finite solvable group

Arnold D. FeldmanRex DarkMaría Dolores Pérez-ramos

subject

AlgebraAlgebra and Number TheoryCoprime integersSolvable groupinjectorfitting setfinite solvable group theorynormal complementComplement (complexity)Mathematics

description

Abstract Suppose G is a finite solvable group, and H is a subgroup with a normal complement in G. We shall find necessary and sufficient conditions (some of which are related to the properties of coprime actions) for H to be an injector in G. We shall also use these criteria to find characterizations of injectors which need not have a normal complement.

yearjournalcountryeditionlanguage
2011-05-01
10.1016/j.jalgebra.2010.10.028http://hdl.handle.net/10379/11061