On p-groups having the minimal number of conjugacy classes of maximal size

A. Jaikin-Zapirain; M. F. Newman; E. A. O'Brien

doi:10.1007/s11856-009-0066-1

On p-groups having the minimal number of conjugacy classes of maximal size

A. Jaikin-Zapirain^*, M. F. Newman, E. A. O'Brien

^*Corresponding author for this work

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

Abstract

A long-standing question is the following: do there exist p-groups of odd order having precisely p-1 conjugacy classes of the largest possible size? We exhibit a 3-group with this property.

Original language	English
Pages (from-to)	119-123
Number of pages	5
Journal	Israel Journal of Mathematics
Volume	172
Issue number	1
DOIs	https://doi.org/10.1007/s11856-009-0066-1
Publication status	Published - Aug 2009

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title = "On p-groups having the minimal number of conjugacy classes of maximal size",

abstract = "A long-standing question is the following: do there exist p-groups of odd order having precisely p-1 conjugacy classes of the largest possible size? We exhibit a 3-group with this property.",

author = "A. Jaikin-Zapirain and Newman, {M. F.} and O'Brien, {E. A.}",

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JO - Israel Journal of Mathematics

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On p-groups having the minimal number of conjugacy classes of maximal size

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