Confined subgroups in periodic simple finitary linear groups

DOI10.1007/BF02785429zbMath1010.20025MaRDI QIDQ701371

Orazio Puglisi, Felix Leinen

Publication date: 7 May 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

quadratic formssubgroups of finite indexlocally finite groupsconfined subgroupsfinitary orthogonal groupsfinitary symplectic groupsperiodic simple finitary linear groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Other matrix groups over fields (20H20)

Related Items (5)

Uniformly recurrent subgroups of simple locally finite groups ⋮ Positive definite functions of finitary isometry groups over fields of odd characteristic. ⋮ Groups of periodically defined linear transformations of an infinite-dimensional vector space ⋮ A commutator lemma for confined subgroups and applications to groups acting on rooted trees ⋮ Some results concerning simple locally finite groups of 1-type.

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