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Tag: Group theory

  • Subnormalisers of semisimple elements are determined

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    What the study found The paper determines the subnormalisers of semisimple elements of prime power order in finite quasi-simple groups of Lie type. It also determines the maximal overgroups of normalisers of Sylow tori. Why the authors say this matters The authors say the work is motivated by the recent character correspondence conjecture by Moretó…

  • Base 60 is the minimal admissible base for icosahedral symmetry

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    What the study found The study finds that base 60 is the minimal admissible positional base, and that this minimum is uniquely achieved by the icosahedral group A₅, a simple non-abelian group of order 60. It also states that doubling the base to 120 corresponds to the spin lift 2I in Spin(3) and supports integer-exact…