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On the number of prime order subgroups of finite groups

On the number of prime order subgroups of finite groups
On the number of prime order subgroups of finite groups
Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C. Wall, and we use our classification to obtain new results on the generation of near-rings by units of prime order.
1446-7887
329-357
Burness, T.C.
2ed44ce9-492b-4909-bc74-41ba9913df62
Scott, S.D.
934bca1e-e61d-43d4-87b6-a72cff05e3aa
Burness, T.C.
2ed44ce9-492b-4909-bc74-41ba9913df62
Scott, S.D.
934bca1e-e61d-43d4-87b6-a72cff05e3aa

Burness, T.C. and Scott, S.D. (2009) On the number of prime order subgroups of finite groups. Journal of the Australian Mathematical Society, 87, 329-357. (doi:10.1017/S1446788709000226).

Record type: Article

Abstract

Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C. Wall, and we use our classification to obtain new results on the generation of near-rings by units of prime order.

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Published date: 2009

Identifiers

Local EPrints ID: 69939
URI: https://eprints.soton.ac.uk/id/eprint/69939
ISSN: 1446-7887
PURE UUID: 64098547-144e-4bc9-8309-4074416927f5

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Date deposited: 05 Jan 2010
Last modified: 19 Jul 2017 00:05

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