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Cycle indices and subgroup lattices

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Cycle indices and subgroup lattices. / Wensley, Christopher D.; Morris, Ifor.
In: Discrete Mathematics, Vol. 118, 1993, p. 173-195.

Research output: Contribution to journal › Article › peer-review

HarvardHarvard

Wensley, CD & Morris, I 1993, 'Cycle indices and subgroup lattices', Discrete Mathematics, vol. 118, pp. 173-195. https://doi.org/10.1016/0012-365X(93)90060-7

APA

Wensley, C. D., & Morris, I. (1993). Cycle indices and subgroup lattices. Discrete Mathematics, 118, 173-195. https://doi.org/10.1016/0012-365X(93)90060-7

CBE

Wensley CD, Morris I. 1993. Cycle indices and subgroup lattices. Discrete Mathematics. 118:173-195. https://doi.org/10.1016/0012-365X(93)90060-7

MLA

Wensley, Christopher D. and Ifor Morris. "Cycle indices and subgroup lattices". Discrete Mathematics. 1993, 118. 173-195. https://doi.org/10.1016/0012-365X(93)90060-7

VancouverVancouver

Wensley CD, Morris I. Cycle indices and subgroup lattices. Discrete Mathematics. 1993;118:173-195. doi: 10.1016/0012-365X(93)90060-7

Author

Wensley, Christopher D. ; Morris, Ifor. / Cycle indices and subgroup lattices. In: Discrete Mathematics. 1993 ; Vol. 118. pp. 173-195.

RIS

TY - JOUR

T1 - Cycle indices and subgroup lattices

AU - Wensley, Christopher D.

AU - Morris, Ifor

PY - 1993

Y1 - 1993

N2 - We determine the properties of the conjugate of a diagonal function \Delta by the mark function in the incidence algebra of the poset of conjugacy classes of subgroups of a finite group G. Particular choices for \Delta provide applications to the Burnside ring of G, to the theory of \beta-rings and to Redfield-Polya enumeration. In particular, we obtain a Polya-like substitution formula for the K[J]-inventory of colourings of a set whose symmetry group is a wreath product G[F].

AB - We determine the properties of the conjugate of a diagonal function \Delta by the mark function in the incidence algebra of the poset of conjugacy classes of subgroups of a finite group G. Particular choices for \Delta provide applications to the Burnside ring of G, to the theory of \beta-rings and to Redfield-Polya enumeration. In particular, we obtain a Polya-like substitution formula for the K[J]-inventory of colourings of a set whose symmetry group is a wreath product G[F].

U2 - 10.1016/0012-365X(93)90060-7

DO - 10.1016/0012-365X(93)90060-7

M3 - Article

VL - 118

SP - 173

EP - 195

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 1872-681X

ER -