The Experts below are selected from a list of 279 Experts worldwide ranked by ideXlab platform
Peter Wong - One of the best experts on this subject based on the ideXlab platform.
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AutomoRphisms of higheR Rank lamplighteR gRoups
International Journal of Algebra and Computation, 2015Co-Authors: Melanie Stein, Jennifer Taback, Peter WongAbstract:Let Γd(q) denote the gRoup whose Cayley gRaph with Respect to a paRticulaR geneRating set is the Diestel–LeadeR gRaph DLd(q), as descRibed by BaRtholdi, NeuhauseR and Woess. We compute both Aut(Γd(q)) and Out(Γd(q)) foR d ≥ 2, and apply ouR Results to count twisted conjugacy classes in these gRoups when d ≥ 3. Specifically, we show that when d ≥ 3, the gRoups Γd(q) have PRopeRty R∞, that is, eveRy automoRphism has an infinite numbeR of twisted conjugacy classes. In contRast, when d = 2 the lamplighteR gRoups Γ2(q) = Lq = ℤq ≀ ℤ have PRopeRty R∞ if and only if (q, 6)≠1.
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The geometRic invaRiants of ceRtain gRoup extensions with applications to twisted conjugacy
Topology and its Applications, 2015Co-Authors: Nic Koban, Peter WongAbstract:AbstRact We compute the geometRic invaRiants Σ 1 and Ω 1 foR a vaRiety of gRoup extensions. We use these computations to give examples of gRoup extensions that have the PRopeRty R ∞ .
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Twisted Conjugacy foR ViRtually Cyclic GRoups and CRystallogRaphic GRoups
Combinatorial and Geometric Group Theory, 2010Co-Authors: Daciberg Lima Gonçalves, Peter WongAbstract:A gRoup is said to have the PRopeRty R ∞ if eveRy automoRphism has an infinite numbeR of twisted conjugacy classes. In this papeR, we classify all viRtually cyclic gRoups with the R ∞ PRopeRty. FuRtheRmoRe, we deteRmine which of the 17 cRystallogRaphic gRoups of Rank 2 have this PRopeRty.
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Twisted conjugacy and quasi‐isometRy invaRiance foR geneRalized solvable Baumslag–SolitaR gRoups
Journal of the London Mathematical Society, 2007Co-Authors: Jennifer Taback, Peter WongAbstract:AbstRactWe say that a gRoup has PRopeRty R ∞ if any gRoup automoRphism has an infinite numbeR of twisted conjugacy classes. Fel'shtyn and Goncalves pRoved that the solvable Baumslag-SolitaR gRoups BS(1, m) have PRopeRty R ∞ . We define a solvable geneRalization Γ(S) of these gRoups which is shown to have PRopeRty R ∞ . It is also shown that PRopeRty R ∞ is geometRic foR these gRoups, that is, any gRoup quasi-isometRic to Γ(S) has PRopeRty R ∞ as well.
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A NOTE ON TWISTED CONJUGACY AND GENERALIZED BAUMSLAG-SOLITAR GROUPS
arXiv: Group Theory, 2006Co-Authors: Jennifer Taback, Peter WongAbstract:A geneRalized Baumslag-SolitaR gRoup is the fundamental gRoup of a gRaph of gRoups all of whose veRtex and edge gRoups aRe infinite cyclic. Levitt pRoves that any geneRalized Baumslag- SolitaR gRoup has PRopeRty R∞, that is, any automoRphism has an infinite numbeR of twisted con- jugacy classes. We show that any gRoup quasi-isometRic to a geneRalized Baumslag-SolitaR gRoup also has PRopeRty R∞. This extends woRk of the authoRs pRoving that any gRoup quasi-isometRic to a solvable Baumslag-SolitaR BS(1, n) gRoup has PRopeRty R∞, and Relies on the classification of geneRalized Baumslag-SolitaR gRoups given by Whyte.
Elizabeth R Woods - One of the best experts on this subject based on the ideXlab platform.
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the association of weapon caRRying and fighting on school PRopeRty and otheR health Risk and pRoblem behavioRs among high school students
JAMA Pediatrics, 1997Co-Authors: R H Durant, Jessica A Kahn, Patricia Hayden Beckford, Elizabeth R WoodsAbstract:Objective: To examine the association between weapon caRRying on school PRopeRty and engaging in health Risk and pRoblem behavioRs such as fighting and substance use on school PRopeRty, feaR of attending school, and victimization at school. Design: A complex 2-stage pRobability suRvey (Massachusetts Youth Risk BehavioR SuRvey). Setting: High schools in Massachusetts. PaRticipants: ThRee thousand fifty-fouR high school students. Main Outcome MeasuRe: NumbeR of days a weapon was caRRied on school PRopeRty duRing the 30 days pRioR to the suRvey. Results: The pRevalence of self-RepoRted weapon caRRying on school PRopeRty was 15% among male students and 5% among female students ( P P R =0.26), being a victim of thReat oR injuRy with a weapon on school PRopeRty ( R =0.27), being a victim of stolen oR damaged goods on school PRopeRty ( R =0.14), not attending school owing to feaR ( R =0.15), and substance use while at school, including smoking cigaRettes ( R =0.20), using chewing tobacco ( R =0.18), smoking maRijuana ( R =0.24), and using alcohol ( R =0.29). The association between weapon caRRying and alcohol use in school was higheR among students who weRe afRaid to come to school ( R =0.49) than among students who weRe not afRaid ( R =0.28). Students who had engaged in same-sex sexual activity ( P P Conclusions: Weapon caRRying at school was moRe stRongly associated moRe with use of violence and the use of substances at school than with pRevious victimization and feaR of attending school. HoweveR, theRe is a subgRoup of students that seems to have been victimized at school, is afRaid to come to school, is using alcohol at school, and is caRRying weapons at school. ARch PediatR Adolesc Med. 1997;151:360-366
R H Durant - One of the best experts on this subject based on the ideXlab platform.
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the association of weapon caRRying and fighting on school PRopeRty and otheR health Risk and pRoblem behavioRs among high school students
JAMA Pediatrics, 1997Co-Authors: R H Durant, Jessica A Kahn, Patricia Hayden Beckford, Elizabeth R WoodsAbstract:Objective: To examine the association between weapon caRRying on school PRopeRty and engaging in health Risk and pRoblem behavioRs such as fighting and substance use on school PRopeRty, feaR of attending school, and victimization at school. Design: A complex 2-stage pRobability suRvey (Massachusetts Youth Risk BehavioR SuRvey). Setting: High schools in Massachusetts. PaRticipants: ThRee thousand fifty-fouR high school students. Main Outcome MeasuRe: NumbeR of days a weapon was caRRied on school PRopeRty duRing the 30 days pRioR to the suRvey. Results: The pRevalence of self-RepoRted weapon caRRying on school PRopeRty was 15% among male students and 5% among female students ( P P R =0.26), being a victim of thReat oR injuRy with a weapon on school PRopeRty ( R =0.27), being a victim of stolen oR damaged goods on school PRopeRty ( R =0.14), not attending school owing to feaR ( R =0.15), and substance use while at school, including smoking cigaRettes ( R =0.20), using chewing tobacco ( R =0.18), smoking maRijuana ( R =0.24), and using alcohol ( R =0.29). The association between weapon caRRying and alcohol use in school was higheR among students who weRe afRaid to come to school ( R =0.49) than among students who weRe not afRaid ( R =0.28). Students who had engaged in same-sex sexual activity ( P P Conclusions: Weapon caRRying at school was moRe stRongly associated moRe with use of violence and the use of substances at school than with pRevious victimization and feaR of attending school. HoweveR, theRe is a subgRoup of students that seems to have been victimized at school, is afRaid to come to school, is using alcohol at school, and is caRRying weapons at school. ARch PediatR Adolesc Med. 1997;151:360-366
Jennifer Taback - One of the best experts on this subject based on the ideXlab platform.
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AutomoRphisms of higheR Rank lamplighteR gRoups
International Journal of Algebra and Computation, 2015Co-Authors: Melanie Stein, Jennifer Taback, Peter WongAbstract:Let Γd(q) denote the gRoup whose Cayley gRaph with Respect to a paRticulaR geneRating set is the Diestel–LeadeR gRaph DLd(q), as descRibed by BaRtholdi, NeuhauseR and Woess. We compute both Aut(Γd(q)) and Out(Γd(q)) foR d ≥ 2, and apply ouR Results to count twisted conjugacy classes in these gRoups when d ≥ 3. Specifically, we show that when d ≥ 3, the gRoups Γd(q) have PRopeRty R∞, that is, eveRy automoRphism has an infinite numbeR of twisted conjugacy classes. In contRast, when d = 2 the lamplighteR gRoups Γ2(q) = Lq = ℤq ≀ ℤ have PRopeRty R∞ if and only if (q, 6)≠1.
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Twisted conjugacy and quasi‐isometRy invaRiance foR geneRalized solvable Baumslag–SolitaR gRoups
Journal of the London Mathematical Society, 2007Co-Authors: Jennifer Taback, Peter WongAbstract:AbstRactWe say that a gRoup has PRopeRty R ∞ if any gRoup automoRphism has an infinite numbeR of twisted conjugacy classes. Fel'shtyn and Goncalves pRoved that the solvable Baumslag-SolitaR gRoups BS(1, m) have PRopeRty R ∞ . We define a solvable geneRalization Γ(S) of these gRoups which is shown to have PRopeRty R ∞ . It is also shown that PRopeRty R ∞ is geometRic foR these gRoups, that is, any gRoup quasi-isometRic to Γ(S) has PRopeRty R ∞ as well.
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A NOTE ON TWISTED CONJUGACY AND GENERALIZED BAUMSLAG-SOLITAR GROUPS
arXiv: Group Theory, 2006Co-Authors: Jennifer Taback, Peter WongAbstract:A geneRalized Baumslag-SolitaR gRoup is the fundamental gRoup of a gRaph of gRoups all of whose veRtex and edge gRoups aRe infinite cyclic. Levitt pRoves that any geneRalized Baumslag- SolitaR gRoup has PRopeRty R∞, that is, any automoRphism has an infinite numbeR of twisted con- jugacy classes. We show that any gRoup quasi-isometRic to a geneRalized Baumslag-SolitaR gRoup also has PRopeRty R∞. This extends woRk of the authoRs pRoving that any gRoup quasi-isometRic to a solvable Baumslag-SolitaR BS(1, n) gRoup has PRopeRty R∞, and Relies on the classification of geneRalized Baumslag-SolitaR gRoups given by Whyte.
Patricia Hayden Beckford - One of the best experts on this subject based on the ideXlab platform.
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the association of weapon caRRying and fighting on school PRopeRty and otheR health Risk and pRoblem behavioRs among high school students
JAMA Pediatrics, 1997Co-Authors: R H Durant, Jessica A Kahn, Patricia Hayden Beckford, Elizabeth R WoodsAbstract:Objective: To examine the association between weapon caRRying on school PRopeRty and engaging in health Risk and pRoblem behavioRs such as fighting and substance use on school PRopeRty, feaR of attending school, and victimization at school. Design: A complex 2-stage pRobability suRvey (Massachusetts Youth Risk BehavioR SuRvey). Setting: High schools in Massachusetts. PaRticipants: ThRee thousand fifty-fouR high school students. Main Outcome MeasuRe: NumbeR of days a weapon was caRRied on school PRopeRty duRing the 30 days pRioR to the suRvey. Results: The pRevalence of self-RepoRted weapon caRRying on school PRopeRty was 15% among male students and 5% among female students ( P P R =0.26), being a victim of thReat oR injuRy with a weapon on school PRopeRty ( R =0.27), being a victim of stolen oR damaged goods on school PRopeRty ( R =0.14), not attending school owing to feaR ( R =0.15), and substance use while at school, including smoking cigaRettes ( R =0.20), using chewing tobacco ( R =0.18), smoking maRijuana ( R =0.24), and using alcohol ( R =0.29). The association between weapon caRRying and alcohol use in school was higheR among students who weRe afRaid to come to school ( R =0.49) than among students who weRe not afRaid ( R =0.28). Students who had engaged in same-sex sexual activity ( P P Conclusions: Weapon caRRying at school was moRe stRongly associated moRe with use of violence and the use of substances at school than with pRevious victimization and feaR of attending school. HoweveR, theRe is a subgRoup of students that seems to have been victimized at school, is afRaid to come to school, is using alcohol at school, and is caRRying weapons at school. ARch PediatR Adolesc Med. 1997;151:360-366
