On two groups of the form $$2^{8}{:}A_{9}$$ 2 8 : A 9

Basheer, Ayoub B.M.; Moori, Jamshid

doi:10.1007/s13370-017-0500-1

Cited by 3 publications

(1 citation statement)

References 2 publications

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“…For the notation used in this article and how the Clifford-Fischer theory and the coset analysis techniques are used, we follow [1,2,3,4,5,6,7,8,9,10,11,12,14,16].…”

Section: Introductionmentioning

confidence: 99%

On A Group Involving The Automorphism of The Janko Group J2

Basheer

2023

JIMS

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The Janko sporadic simple group J2 has an automorphism group 2. Using the electronic Atlas of Wilson [22], the group J2:2 has an absolutely irreducible module of dimension 12 over F2. It follows that a split extension group of the form 2^12:(J2:2) := G exists. In this article we study this group, where we compute its conjugacy classes and character table using the coset analysis technique together with Clifford-Fischer Theory. The inertia factor groups of G will be determined by analysing the maximal subgroups of J2:2 and maximal of the maximal subgroups of J2:2 together with various other information. It turns out that the character table of G is a 64×64 real valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 6.

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“…For the notation used in this article and how the Clifford-Fischer theory and the coset analysis techniques are used, we follow [1,2,3,4,5,6,7,8,9,10,11,12,14,16].…”

Section: Introductionmentioning

confidence: 99%

On A Group Involving The Automorphism of The Janko Group J2

Basheer

2023

JIMS

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On a maximal subgroup of the symplectic group Sp(8, 2)

Ali

Basheer

2021

Afr. Mat.

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On a group extension involving the Suzuki group Sz(8)

Basheer

2023

Afr. Mat.

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The Suzuki simple group Sz(8) has an automorphism group 3. Using the electronic Atlas [22], the group Sz(8) : 3 has an absolutely irreducible module of dimension 12 over $${\mathbb {F}}_{2}.$$ F 2 . Therefore a split extension group of the form $$2^{12}{:}(Sz(8){:}3):= {\overline{G}}$$ 2 12 : ( S z ( 8 ) : 3 ) : = G ¯ exists. In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford-Fischer Theory. We determined the inertia factor groups of $${\overline{G}}$$ G ¯ by analysing the maximal subgroups of Sz(8) : 3 and maximal of the maximal subgroups of Sz(8) : 3 together with various other information. It turns out that the character table of $${\overline{G}}$$ G ¯ is a $$43 \times 43$$ 43 × 43 complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 7.

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On two groups of the form $$2^{8}{:}A_{9}$$ 2 8 : A 9

Cited by 3 publications

References 2 publications

On A Group Involving The Automorphism of The Janko Group J2

On A Group Involving The Automorphism of The Janko Group J2

On a maximal subgroup of the symplectic group Sp(8, 2)

On a group extension involving the Suzuki group Sz(8)

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