On the nonabelian tensor square and capability of groups of order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mn>8</mml:mn><mml:mi>q</mml:mi></mml:math>

Rashid, Samad; Sarmin, Nor Haniza; Erfanian, Ahmad; Ali, Nor Muhainiah Mohd; Zainal, Rosita

doi:10.1016/j.indag.2013.03.005

Cited by 7 publications

(11 citation statements)

References 12 publications

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“…In this section, the capability of all nonabelian groups of order 4 p of type (6) to (11), where p is an odd prime in the classification is discussed. The capability of these groups is computed in the following theorem.…”

Section: Resultsmentioning

confidence: 99%

“…The capability of these groups is computed in the following theorem. Theorem 3.1 Let G be a nonabelian group of order 4 p of type (6) to (11), where p is an odd prime. Then G is capable if G is a group of type (8) or type (9).…”

Section: Resultsmentioning

confidence: 99%

“…In this paper, the capability for all nonabelian groups of order 4 p of type (6) to (11), where p is an odd prime has been determined. We have proved that the nonabelian groups of order 4 p of type (6) to (11), where p is an odd prime is capable if G is a group of type (8) or type (9).…”

Section: Resultsmentioning

confidence: 99%

“…We have proved that the nonabelian groups of order 4 p of type (6) to (11), where p is an odd prime is capable if G is a group of type (8) or type (9).…”

Section: Resultsmentioning

confidence: 99%

“…In 2012, the capability of groups of order 2 p q has been computed by Samad et al in [5]. Recently, Samad et al in [6] determined the capability of groups of order 3 , p q where p and q are distinct primes and p < q.…”

Section: Z G Z E E Gmentioning

confidence: 99%

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On the capability of nonabelian groups of order p4

Zainal

Ali²,

Sarmin³

et al. 2014

AIP Conference Proceedings

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Non-Abelian point group symmetry in direct second-order many-body perturbation theory calculations of NMR chemical shifts Abstract. A group is capable if it is isomorphic to the central factor group. For finite groups of prime power order, the capability is closely related to their classification. In this research, by using the classification of groups of order p 4 , we determine the capability of this group.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…We have proved that the nonabelian groups of order 4 p of type (6) to (11), where p is an odd prime is capable if G is a group of type (8) or type (9).…”

Section: Resultsmentioning

confidence: 99%

Section: Z G Z E E Gmentioning

confidence: 99%

See 3 more Smart Citations

On the capability of nonabelian groups of order p4

Zainal

Ali²,

Sarmin³

et al. 2014

AIP Conference Proceedings

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Computing the nonabelian tensor squares of groups of order $$\pmb {p^3q}$$

Kalteh

Jafari

2021

Arab. J. Math.

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In this paper, we describe the explicit structures of nonabelian tensor squares of nonabelian groups of order $$p^3q$$ p 3 q , where p and q are distinct prime numbers and $$p>2$$ p > 2 . Our method is based on determining the structures of their Schur multipliers by applying some well-known results and the presentations of groups, which leads us to obtain the orders of their nonabelian tensor squares.

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