On the order of unitary subgroup of the modular group algebra 𝔽2kD2N

Makhijani, Neha; Sharma, Rajendra K.; Srivastava, J. B.

doi:10.1142/s0219498815501297

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Cited by 5 publications

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“…There are only limited number of results in non-modular case. In [21] the order of V * (F 2 k D 2N ) was determined, where D 2N is the dihedral group of order 2N.…”

Section: Introductionmentioning

confidence: 99%

Unitary Subgroups of commutative group algebras of characteristic two

Balogh,

Laver

2020

Preprint

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Let F G be the group algebra of a finite 2-group G over a finite field F of characteristic two and ⊛ an involution which arises from G. The ⊛-unitary subgroup of F G, denoted by V ⊛ (F G), is defined to be the set of all normalized units u satisfying the property u ⊛ = u −1 . In this paper we establish the order of V ⊛ (F G) for all involutions ⊛ which arise from G, where G is a finite cyclic 2-group and show that all ⊛-unitary subgroups of F G are not isomorphic.

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“…There are only limited number of results in non-modular case. In [21] the order of V * (F 2 k D 2N ) was determined, where D 2N is the dihedral group of order 2N.…”

Section: Introductionmentioning

confidence: 99%