Elliot Mckernon

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math.RT2020

2-blocks with an abelian defect group and a freely acting cyclic inertial quotient

Cesare Giulio Ardito, Elliot McKernon

We study blocks with an abelian defect group and a cyclic inertial quotient acting freely but not transitively. We prove that when p=2, such blocks are inertial, i.e. basic Morita…

math.RT2020

$2$ -Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle II

Elliot Mckernon

We consider $2$ -blocks of finite groups with defect group $D = Q \times R$ and inertial quotient $E$ where $Q ≅ (C_{2^{m}})^{n}$ , $R ≅ C_{2^{r}}$ , and $E$ contain…

math.RT2020

$2$ -Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle

Elliot Mckernon

We consider a block $B$ of a finite group with defect group $D ≅ (C_{2^{m}})^{n}$ and inertial quotient $E$ containing a Singer cycle (an element of order $2^{n} - 1$ ). This i…

2-blocks with an abelian defect group and a freely acting cyclic inertial quotient

2-Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle II

2-Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle

$2$ -Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle II

$2$ -Blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle