Open AccessA note on automorphisms of finite p-groups
Author(s) -
Gustavo A. FernándezAlcober,
Anitha Thillaisundaram
Publication year - 2016
Publication title -
glasnik matematicki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.332
H-Index - 17
eISSN - 1846-7989
pISSN - 0017-095X
DOI - 10.3336/gm.51.1.07
Subject(s) - mathematics , automorphism , abelian group , order (exchange) , p group , automorphism group , cyclic group , pure mathematics , elementary abelian group , combinatorics , finite group , group (periodic table) , discrete mathematics , physics , finance , quantum mechanics , economics
Let G be a finite non-cyclic p-group of order at least p^3. If G has an abelian maximal subgroup, or if G has an elementary abelian centre and is not strongly Frattinian, then the order of G divides the order the its automorphism group
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom