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A Characterisation of p ‐Soluble Groups
Author(s) -
Flavell Paul
Publication year - 1997
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609396002317
Subject(s) - mathematics , coprime integers , prime (order theory) , mathematics subject classification , order (exchange) , group (periodic table) , combinatorics , composition (language) , pure mathematics , chemistry , organic chemistry , linguistics , philosophy , finance , economics
If p is a prime, then a finite group is p ‐soluble if each of its composition factors is either a p ‐group or has order coprime to p . For example, soluble groups are p ‐soluble. However, there are many insoluble groups that are p ‐soluble. We shall prove the following result. 1991 Mathematics Subject Classification 20D10.