C(6) groups do not contain F 2×F 2

Hadi Bigdely; Daniel T. Wise

doi:10.1016/j.jpaa.2012.04.016

C(6) groups do not contain F ₂×F ₂

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

Abstract

We show that a group with a presentation satisfying the C(6) small-cancellation condition cannot contain a subgroup isomorphic to F ₂×F ₂.

Original language	English
Pages (from-to)	22-30
Number of pages	9
Journal	Journal of Pure and Applied Algebra
Volume	217
Issue number	1
DOIs	https://doi.org/10.1016/j.jpaa.2012.04.016
State	Published - Jan 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jpaa.2012.04.016

Cite this

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title = "C(6) groups do not contain F 2×F 2",

abstract = "We show that a group with a presentation satisfying the C(6) small-cancellation condition cannot contain a subgroup isomorphic to F 2×F 2.",

author = "Hadi Bigdely and Wise, \{Daniel T.\}",

year = "2013",

month = jan,

doi = "10.1016/j.jpaa.2012.04.016",

language = "الإنجليزيّة",

volume = "217",

pages = "22--30",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "1",

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AU - Wise, Daniel T.

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AB - We show that a group with a presentation satisfying the C(6) small-cancellation condition cannot contain a subgroup isomorphic to F 2×F 2.

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DO - 10.1016/j.jpaa.2012.04.016

M3 - مقالة

SN - 0022-4049

VL - 217

SP - 22

EP - 30

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1

ER -

C(6) groups do not contain F ₂×F ₂

Abstract

All Science Journal Classification (ASJC) codes

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