6533b859fe1ef96bd12b81bb

RESEARCH PRODUCT

A class of imprimitive groups

Claudio BartoloneFrancesco Ciraulo

subject

Class (set theory)Algebra and Number Theorypermutation groups imprimitive groups sharply transitive groupsPermutation groupsGroup (mathematics)Applied Mathematicsmedia_common.quotation_subjectAlternating groupimprimitive groupsPermutation groupInertiaCombinatoricsPermutation groups; imprimitive groups; sharply transitive groupsSettore MAT/03 - GeometriaMathematicsmedia_commonsharply transitive groups

description

We classify imprimitive groups inducing the alternating group A4 on the set of blocks, with the inertia subgroup satisfying some very natural geometrical conditions which force the group to operate linearly.

http://hdl.handle.net/11577/2416820