2012Journal of Algebra and Its ApplicationsRequires access

THE 2-LOCAL RANKS OF LARGE SPORADIC GROUPS

Baoshan Wang

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Abstract

In this paper we mainly study sporadic groups in terms of p-local rank, especially the 2-local ranks of some sporadic groups (Conway simple group Co1, Janko simple group J4, Fisher simple groups, the Baby Monster 𝔹 and the Monster 𝕄) will be given which complete the problem of determining the p-local ranks of all sporadic simple groups for all primes p.

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What this paper is about

In this paper we mainly study sporadic groups in terms of p-local rank, especially the 2-local ranks of some sporadic groups (Conway simple group Co1, Janko simple group J4, Fisher simple groups, the Baby Monster 𝔹 and the Monster 𝕄) will be given which complete the problem of determining the p-local ranks of all sporadic simple groups for all primes p.

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Available abstract

In this paper we mainly study sporadic groups in terms of p-local rank, especially the 2-local ranks of some sporadic groups (Conway simple group Co1, Janko simple group J4, Fisher simple groups, the Baby Monster 𝔹 and the Monster 𝕄) will be given which complete the problem of determining the p-local ranks of all sporadic simple groups for all primes p.

Key concepts: Simple group, Sporadic group, Mathematics, Simple (philosophy), Monster, Rank (graph theory), Combinatorics, Classification of finite simple groups

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