Porth Ymchwil

Enumeration of cat1-groups of low order

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

StandardStandard

Enumeration of cat1-groups of low order. / Wensley, Christopher D.; Alp, Murat.
Yn: International Journal of Algebra and Computation, Cyfrol 10, Rhif 04, 2000, t. 407-424.

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

HarvardHarvard

Wensley, CD & Alp, M 2000, 'Enumeration of cat1-groups of low order', International Journal of Algebra and Computation, cyfrol. 10, rhif 04, tt. 407-424. https://doi.org/10.1142/S0218196700000170

APA

Wensley, C. D., & Alp, M. (2000). Enumeration of cat1-groups of low order. International Journal of Algebra and Computation, 10(04), 407-424. https://doi.org/10.1142/S0218196700000170

CBE

Wensley CD, Alp M. 2000. Enumeration of cat1-groups of low order. International Journal of Algebra and Computation. 10(04):407-424. https://doi.org/10.1142/S0218196700000170

MLA

Wensley, Christopher D. a Murat Alp. "Enumeration of cat1-groups of low order". International Journal of Algebra and Computation. 2000, 10(04). 407-424. https://doi.org/10.1142/S0218196700000170

VancouverVancouver

Wensley CD, Alp M. Enumeration of cat1-groups of low order. International Journal of Algebra and Computation. 2000;10(04):407-424. doi: 10.1142/S0218196700000170

Author

Wensley, Christopher D. ; Alp, Murat. / Enumeration of cat1-groups of low order. Yn: International Journal of Algebra and Computation. 2000 ; Cyfrol 10, Rhif 04. tt. 407-424.

RIS

TY - JOUR

T1 - Enumeration of cat1-groups of low order

AU - Wensley, Christopher D.

AU - Alp, Murat

PY - 2000

Y1 - 2000

N2 - In this paper we describe a share package XMod of functions for computing with finite, permutation crossed modules, cat1-groups and their morphisms, written using the GAP group theory programming language. The category XMod of crossed modules is equivalent to the category Cat1 of cat1-groups and we include functions emulating the functors between these categories. The monoid of derivations of a crossed module X, and the corresponding monoid of sections of a cat1-group C, are constructed using the Whitehead multiplication. The Whitehead group of invert- ible derivations, together with the group of automorphisms of X, are used to construct the actor crossed module of X which is the automorphism object in XMod. We include a table of the 350 isomorphism classes of cat1-structures on groups of order at most 30.

AB - In this paper we describe a share package XMod of functions for computing with finite, permutation crossed modules, cat1-groups and their morphisms, written using the GAP group theory programming language. The category XMod of crossed modules is equivalent to the category Cat1 of cat1-groups and we include functions emulating the functors between these categories. The monoid of derivations of a crossed module X, and the corresponding monoid of sections of a cat1-group C, are constructed using the Whitehead multiplication. The Whitehead group of invert- ible derivations, together with the group of automorphisms of X, are used to construct the actor crossed module of X which is the automorphism object in XMod. We include a table of the 350 isomorphism classes of cat1-structures on groups of order at most 30.

KW - crossed module, cat1-group, derivation, actor

U2 - 10.1142/S0218196700000170

DO - 10.1142/S0218196700000170

M3 - Article

VL - 10

SP - 407

EP - 424

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 04

ER -