We prove that a group with spectrum {1, 2, 3,4, 5, 8} is locally finite and is isomorphic to M10, where M10= A6 ·2 is the 3-transitive Mathieu group of degree 10, i.e. the corresponding maximal subgroup of the sporadic simple group M11.
Recognizing M10 by spectrum in the class of all groups.
JABARA, Enrico;
2014-01-01
Abstract
We prove that a group with spectrum {1, 2, 3,4, 5, 8} is locally finite and is isomorphic to M10, where M10= A6 ·2 is the 3-transitive Mathieu group of degree 10, i.e. the corresponding maximal subgroup of the sporadic simple group M11.
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