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Isolated subgroups in finite groups
Author(s) -
Meierfrankenfeld Ulrich,
Parker Christopher,
Rowley Peter
Publication year - 2009
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdn061
Subject(s) - prime (order theory) , mathematics , index of a subgroup , group (periodic table) , combinatorics , finite group , subgroup , pure mathematics , physics , quantum mechanics
For G a finite group, we introduce the notion of an isolated subgroup of G . These subgroups arise naturally in the project to understand the groups of local characteristic p, p a prime. We investigate how the presence of an isolated subgroup in G influences the structure of G .