Open AccessOn monotone 2-groups
Author(s) -
Eleonora Crestani,
Federico Menegazzo
Publication year - 2012
Publication title -
journal of group theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.812
H-Index - 31
eISSN - 1435-4446
pISSN - 1433-5883
DOI - 10.1515/jgt-2012-0001
Subject(s) - mathematics , monotone polygon , group (periodic table) , pure mathematics , finite group , geometry , physics , quantum mechanics
For a finite group X, let d.X/ indicate the minimum number of generators ofX. A (finite) group G is monotone if, for every pair H; K of subgroups of G, H Kimplies d.H/ d.K/. Monotone p-groups have been introduced and investigated byA. Mann, who determined their structure if p > 2. In this paper, a complete classificationof monotone 2-groups is given