Bounds on Squares of Two-Sets

Dan Slilaty; Jeff Vanderkam

Bounds on Squares of Two-Sets

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

Abstract

For a finite group G, let p _i (G) denote the proportion of (x,y) in GxG for which the set {x ² ,xy,yx,y ² } has cardinality i. In this paper we develop estimates on the p _i (G) for various i.

Original language	American English
Journal	Rose-Hulman Mathematical Sciences Techinal Reports
State	Published - May 1 1993
Externally published	Yes

Keywords

Conjugacy Classes
Group Theory

Disciplines

Algebra
Mathematics

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Bounds on Squares of Two-SetsFinal published version, 360 KBLicense: Unspecified

Cite this

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title = "Bounds on Squares of Two-Sets",

abstract = " For a finite group G, let p i (G) denote the proportion of (x,y) in GxG for which the set \{x 2 ,xy,yx,y 2 \} has cardinality i. In this paper we develop estimates on the p i (G) for various i.",

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author = "Dan Slilaty and Jeff Vanderkam",

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journal = "Rose-Hulman Mathematical Sciences Techinal Reports",

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T1 - Bounds on Squares of Two-Sets

AU - Slilaty, Dan

AU - Vanderkam, Jeff

PY - 1993/5/1

Y1 - 1993/5/1

N2 - For a finite group G, let p i (G) denote the proportion of (x,y) in GxG for which the set {x 2 ,xy,yx,y 2 } has cardinality i. In this paper we develop estimates on the p i (G) for various i.

AB - For a finite group G, let p i (G) denote the proportion of (x,y) in GxG for which the set {x 2 ,xy,yx,y 2 } has cardinality i. In this paper we develop estimates on the p i (G) for various i.

KW - Conjugacy Classes

KW - Group Theory

UR - https://scholar.rose-hulman.edu/math_mstr/82

M3 - Article

JO - Rose-Hulman Mathematical Sciences Techinal Reports

JF - Rose-Hulman Mathematical Sciences Techinal Reports

ER -

Bounds on Squares of Two-Sets

Abstract

Keywords

Disciplines

Access to Document

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