Title of article
Infinite locally finite simple groups with many complemented subgroups
Author/Authors
Ferrara ، Maria Dipartimento di Matematica e Fisica - Universit`a degli Studi della Campania “Luigi Vanvitelli” , Trombetti ، Marco Dipartimento di Matematica e Applicazioni “Renato Caccioppoli” - Universit degli Studi di Napoli Federico II
From page
191
To page
200
Abstract
We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic 2, Ree groups over an infinite locally finite field of characteristic 3. We also show that if the Sylow primary subgroups of a locally finite simple group G have complemented subgroup lattice, then this is also the case for G.
Keywords
K , group , complemented subgroup , locally finite simple group
Journal title
International Journal of Group Theory
Journal title
International Journal of Group Theory
Record number
2729518
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