Soluble groups of small Wielandt length

C. J.T. Wetherell

doi:10.1081/AGB-120028792

Soluble groups of small Wielandt length

C. J.T. Wetherell^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In this paper we are interested in the relationship between the Wielandt series and strong Wielandt series of a finite soluble group. Some exact bounds on strong Wielandt length in terms of Wielandt length are obtained for groups with p-length 1 for all primes p. We also give two new results relating the Wielandt subgroup and strong Wielandt subgroup of an arbitrary finite soluble group.

Original language	English
Pages (from-to)	1471-1486
Number of pages	16
Journal	Communications in Algebra
Volume	32
Issue number	4
DOIs	https://doi.org/10.1081/AGB-120028792
Publication status	Published - 2004

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10.1081/AGB-120028792

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title = "Soluble groups of small Wielandt length",

abstract = "In this paper we are interested in the relationship between the Wielandt series and strong Wielandt series of a finite soluble group. Some exact bounds on strong Wielandt length in terms of Wielandt length are obtained for groups with p-length 1 for all primes p. We also give two new results relating the Wielandt subgroup and strong Wielandt subgroup of an arbitrary finite soluble group.",

keywords = "Finite soluble groups, Subnormal subgroups, Wielandt subgroup",

author = "Wetherell, \{C. J.T.\}",

year = "2004",

doi = "10.1081/AGB-120028792",

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pages = "1471--1486",

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T1 - Soluble groups of small Wielandt length

AU - Wetherell, C. J.T.

PY - 2004

Y1 - 2004

N2 - In this paper we are interested in the relationship between the Wielandt series and strong Wielandt series of a finite soluble group. Some exact bounds on strong Wielandt length in terms of Wielandt length are obtained for groups with p-length 1 for all primes p. We also give two new results relating the Wielandt subgroup and strong Wielandt subgroup of an arbitrary finite soluble group.

AB - In this paper we are interested in the relationship between the Wielandt series and strong Wielandt series of a finite soluble group. Some exact bounds on strong Wielandt length in terms of Wielandt length are obtained for groups with p-length 1 for all primes p. We also give two new results relating the Wielandt subgroup and strong Wielandt subgroup of an arbitrary finite soluble group.

KW - Finite soluble groups

KW - Subnormal subgroups

KW - Wielandt subgroup

UR - https://www.scopus.com/pages/publications/22744440657

U2 - 10.1081/AGB-120028792

DO - 10.1081/AGB-120028792

M3 - Article

SN - 0092-7872

VL - 32

SP - 1471

EP - 1486

JO - Communications in Algebra

JF - Communications in Algebra

IS - 4

ER -

Soluble groups of small Wielandt length

Abstract

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