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On monotone 2-groups
-
Eleonora Crestani
and
Federico Menegazzo
Published/Copyright:
May 1, 2012
Abstract.
For a finite group 
, let 
indicate the minimum number of generators of 
. A (finite) group 
is monotone if, for every pair 
of subgroups of 
, 
implies 
. Monotone 
-groups have been introduced and investigated by A. Mann, who determined their structure if 
. In this paper, a complete classification of monotone 2-groups is given.
Received: 2011-10-18
Published Online: 2012-05-01
Published in Print: 2012-May
© 2012 by Walter de Gruyter Berlin Boston
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- 2-Blocks with minimal nonabelian defect groups II
- Rational defect groups and 2-rational characters, II
- On monotone 2-groups
- A note on a result of Skiba
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Articles in the same Issue
- Masthead
- 2-Blocks with minimal nonabelian defect groups II
- Rational defect groups and 2-rational characters, II
- On monotone 2-groups
- A note on a result of Skiba
- A focal subgroup theorem for outer commutator words
- Kernels of linear representations of Lie groups, locally compact groups, and pro-Lie Groups
- The fundamental group of a quotient of a product of curves
