Counting in nilpotent injectors and Carter subgroups

S. Aivazidis; M. Loukaki; J. Shareshian

doi:10.1016/j.jalgebra.2024.12.033

Counting in nilpotent injectors and Carter subgroups

S. Aivazidis
, M. Loukaki
, J. Shareshian

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

Abstract

We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or N-constrained) groups.

Original language	English
Pages (from-to)	627-646
Number of pages	20
Journal	Journal of Algebra
Volume	668
DOIs	https://doi.org/10.1016/j.jalgebra.2024.12.033
State	Published - Apr 15 2025

Keywords

Carter subgroup
Nilpotent injector
Subgroup enumeration

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10.1016/j.jalgebra.2024.12.033

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title = "Counting in nilpotent injectors and Carter subgroups",

abstract = "We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or N-constrained) groups.",

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AU - Aivazidis, S.

AU - Loukaki, M.

AU - Shareshian, J.

PY - 2025/4/15

Y1 - 2025/4/15

N2 - We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or N-constrained) groups.

AB - We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or N-constrained) groups.

KW - Carter subgroup

KW - Nilpotent injector

KW - Subgroup enumeration

UR - https://www.scopus.com/pages/publications/85217640124

U2 - 10.1016/j.jalgebra.2024.12.033

DO - 10.1016/j.jalgebra.2024.12.033

M3 - Article

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SN - 0021-8693

VL - 668

SP - 627

EP - 646

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Counting in nilpotent injectors and Carter subgroups

Abstract

Keywords

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