Regular orbits of sporadic simple groups
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DOI: 10.1016/j.jalgebra.2018.11.034
Abstract: Abstract Given a finite group G and a faithful irreducible FG-module V where F has prime order, does G have a regular orbit on V? This problem is equivalent to determining which primitive permutation groups… read more here.
Keywords: simple groups; group; orbits sporadic; sporadic simple ... See more keywords
Exact Factorizations of Sporadic Simple Groups
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DOI: 10.1080/10586458.2018.1556137
Abstract: A group G is said to have an exact factorization if there exist proper subgroups Ai for i=1,2,…,n such that G=A1A2…An and |G|=|A1||A2|…|An|. The number n is called length of this factorization. An ... read more here.
Keywords: simple groups; sporadic simple; exact factorizations; factorizations sporadic ... See more keywords
The FSZ properties of sporadic simple groups
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DOI: 10.1142/s0219498819500166
Abstract: We investigate a possible connection between the [Formula: see text] properties of a group and its Sylow subgroups. We show that the simple groups [Formula: see text] and [Formula: see text], as well as all… read more here.
Keywords: sporadic simple; sylow subgroups; simple groups; formula see ... See more keywords