Efficient presentations for direct powers of imperfect groups

Colin Matthew Campbell; Edmund Frederick Robertson; PD Williams

Efficient presentations for direct powers of imperfect groups

Colin Matthew Campbell, Edmund Frederick Robertson, PD Williams

Research output: Other contribution

Abstract

Let G be a finite imperfect group. It is shown that, to prove that G(n) is efficient for all integers n, it is sufficient to prove that each of a finite sequence of such direct products is efficient. As an example, A(4)(n), n greater than or equal to 1, is shown to be efficient.

Original language	English
Volume	4
Publication status	Published - Mar 1997

Keywords

alternating group
direct power
direct product
efficient presentation
imperfect group

Cite this

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title = "Efficient presentations for direct powers of imperfect groups",

abstract = "Let G be a finite imperfect group. It is shown that, to prove that G(n) is efficient for all integers n, it is sufficient to prove that each of a finite sequence of such direct products is efficient. As an example, A(4)(n), n greater than or equal to 1, is shown to be efficient.",

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author = "Campbell, {Colin Matthew} and Robertson, {Edmund Frederick} and PD Williams",

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T1 - Efficient presentations for direct powers of imperfect groups

AU - Campbell, Colin Matthew

AU - Robertson, Edmund Frederick

AU - Williams, PD

N1 - Algebra Colloq

PY - 1997/3

Y1 - 1997/3

N2 - Let G be a finite imperfect group. It is shown that, to prove that G(n) is efficient for all integers n, it is sufficient to prove that each of a finite sequence of such direct products is efficient. As an example, A(4)(n), n greater than or equal to 1, is shown to be efficient.

AB - Let G be a finite imperfect group. It is shown that, to prove that G(n) is efficient for all integers n, it is sufficient to prove that each of a finite sequence of such direct products is efficient. As an example, A(4)(n), n greater than or equal to 1, is shown to be efficient.

KW - alternating group

KW - direct power

KW - direct product

KW - efficient presentation

KW - imperfect group

M3 - Other contribution

VL - 4

ER -

Efficient presentations for direct powers of imperfect groups

Abstract

Keywords

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