Orbit invariants and an application to the Baby Monster

Max Neunhoeffer; Felix Noeske; Eamonn O'Brien; Robert Wilson

doi:10.1016/j.jalgebra.2011.05.033

Orbit invariants and an application to the Baby Monster

Max Neunhoeffer, Felix Noeske, Eamonn O'Brien, Robert Wilson

Pure Mathematics

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

8 Citations (Scopus)

Abstract

We prove that the minimal base size
for the permutation action of the sporadic simple Baby monster group $B$
on the cosets of its 7th and 8th maximal subgroup is $3$ and $2$
respectively. Motivated by the large sizes of these permutation actions,
we develop new computational methods to prove that an orbit is regular
and to show that two orbits are disjoint.

Original language	English
Journal	Journal of Algebra
Volume	341
DOIs	https://doi.org/10.1016/j.jalgebra.2011.05.033
Publication status	Accepted/In press - 2011

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title = "Orbit invariants and an application to the Baby Monster",

abstract = "We prove that the minimal base sizefor the permutation action of the sporadic simple Baby monster group $B$on the cosets of its 7th and 8th maximal subgroup is $3$ and $2$respectively. Motivated by the large sizes of these permutation actions,we develop new computational methods to prove that an orbit is regularand to show that two orbits are disjoint.",

author = "Max Neunhoeffer and Felix Noeske and Eamonn O'Brien and Robert Wilson",

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doi = "10.1016/j.jalgebra.2011.05.033",

language = "English",

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journal = "Journal of Algebra",

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T1 - Orbit invariants and an application to the Baby Monster

AU - Neunhoeffer, Max

AU - Noeske, Felix

AU - O'Brien, Eamonn

AU - Wilson, Robert

PY - 2011

Y1 - 2011

N2 - We prove that the minimal base sizefor the permutation action of the sporadic simple Baby monster group $B$on the cosets of its 7th and 8th maximal subgroup is $3$ and $2$respectively. Motivated by the large sizes of these permutation actions,we develop new computational methods to prove that an orbit is regularand to show that two orbits are disjoint.

AB - We prove that the minimal base sizefor the permutation action of the sporadic simple Baby monster group $B$on the cosets of its 7th and 8th maximal subgroup is $3$ and $2$respectively. Motivated by the large sizes of these permutation actions,we develop new computational methods to prove that an orbit is regularand to show that two orbits are disjoint.

U2 - 10.1016/j.jalgebra.2011.05.033

DO - 10.1016/j.jalgebra.2011.05.033

M3 - Article

SN - 0021-8693

VL - 341

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Orbit invariants and an application to the Baby Monster

Abstract

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