Unitary units in modular group algebras of 2-groups

Bovdi, A. A.; Erdei, L.

doi:10.1080/00927870008826848

Cited by 24 publications

(24 citation statements)

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“…The structure of V * (F 2 G) for all groups of order 8 and 16 is given by Bovdi and Erdei [2]. Later on, Bovdi and Rosa [5] determined the order of V * (F 2 k G) where G is either an extraspecial 2-group or the central product of such a group with a cyclic group of order 4.…”

Section: Introductionmentioning

confidence: 98%

On the unitary units of the group algebra 𝔽_2^kQ₁₆

Raza

Ali

2015

Asian-European J. Math.

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In this note, the structure of unitary unit groups V * (F 2 k Q 16 ) is investigated, where Q 16 , is quaternion group of order 16, and F 2 k is any finite field of characteristic 2, with 2 k elements. In particular, we give the center Z(V * (F 2 k Q 16 )) of unitary units subgroup V * (F 2 k Q 16 ) of group algebra F 2 k Q 16 . The structure of the unitary unit subgroup V * (F 2 k Q 16 ) is described with the help of the Z(V * (F 2 k Q 16 )).

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Section: Introductionmentioning

confidence: 98%

On the unitary units of the group algebra 𝔽_2^kQ₁₆

Raza

Ali

2015

Asian-European J. Math.

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“…The structure of V * (F 2 G) for all groups of order 8 and 16 is given by Bovdi and Erdei [2]. Later on, Bovdi and Rosa [4] determined the order of V * (F 2 k G) where G is either an extraspecial 2-group or the central product of such a group with a cyclic group of order 4.…”

Section: Introductionmentioning

confidence: 98%

ON THE STRUCTURE OF THE UNITARY SUBGROUP OF THE GROUP ALGEBRA 𝔽_2^qD_2ⁿ

Raza

Ahmad

2014

J. Algebra Appl.

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“…Bovdi and Kovacs determined when U * (KG) (K a field) is normal in U(KG) [4]. Bovdi and Erdei have considered the possibility that a group may have a normal complement in the unitary group U * (ZL) [3]. Gonçalves and Passman have studied groups G whose unitary subgroup in KG does not contain a free group [9], and Giambruno and Polcino Milies determined conditions for this subgroup to satisfy a group identity [8].…”

Section: Introductionmentioning

confidence: 99%

“…Now a −1 ba ∈ {b 3 Since elements of odd order are central and T (A) has exponent dividing 4 or 6, we must have n = 2, n = 4 or n = 6. If n = 2, Equation (4.…”

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confidence: 99%