Osaka Journal of Mathematics

Reduction theorems for characteristic functors on finite $p$-groups and applications to $p$-nilpotence criteria

Paul Lescot

Full-text: Open access

Abstract

We formalize various properties of characteristic functors on $p$-groups, and discuss relationships between them. Applications to the Thompson subgroup and certain of its analogues are then given.

Article information

Source
Osaka J. Math., Volume 45, Number 4 (2008), 1043-1056.

Dates
First available in Project Euclid: 26 November 2008

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1227708832

Mathematical Reviews number (MathSciNet)
MR2493969

Zentralblatt MATH identifier
1170.20011

Subjects
Primary: 20D20: Sylow subgroups, Sylow properties, $\pi$-groups, $\pi$-structure
Secondary: 20E25: Local properties

Citation

Lescot, Paul. Reduction theorems for characteristic functors on finite $p$-groups and applications to $p$-nilpotence criteria. Osaka J. Math. 45 (2008), no. 4, 1043--1056. https://projecteuclid.org/euclid.ojm/1227708832


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References

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