RELATION BETWEEN ALGEBRAIC PROPERTIES AND DYNAMICAL PROPERTIES OF GROUP ACTIONS

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BARZANOUNI ALI

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

RELATION BETWEEN ALGEBRAIC PROPERTIES AND DYNAMICAL PROPERTIES OF GROUP ACTIONS

Author(s)

BARZANOUNI ALI

Keywords

FINITE EXPANSIVE

PING PONG GAME

NILPOTENT GROUP

SOLVABLE GROUP

Abstract

LET J : G&NBSP;´ X ®&NBSP;X BE A GROUP ACTION ON A COMPACT METRIC SPACE (X, D). IN THIS PAPER, WE INTRODUCE FINITE EXPANSIVE GROUP ACTION, ELASTIC GROUP ACTION AND SHOW THAT NILPOTENT GROUP ACTIONS ONS 1, HAVE NO FINITE EXPANSIVE. ALSO WE SHOW THAT IFH IS FINITE INDEX SUBGROUP OF G, THEN J: G ´ X ®&NBSP;X IS FINITE EXPANSIVE IF AND ONLY IF' J H: H ´ X ®&NBSP;X IS FINITE EXPANSIVE. WE SHOW THAT NILPOTENT GROUP ACTIONS HAVE NO ELASTIC ON A CLOSED INTERVAL BUT THERE IS SOLVABLE GROUP ACTION ON A CLOSED INTERVAL, THAT IS ELASTIC.

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APA: Copy

BARZANOUNI, ALI. (2016). RELATION BETWEEN ALGEBRAIC PROPERTIES AND DYNAMICAL PROPERTIES OF GROUP ACTIONS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938541/en

Vancouver: Copy

BARZANOUNI ALI. RELATION BETWEEN ALGEBRAIC PROPERTIES AND DYNAMICAL PROPERTIES OF GROUP ACTIONS. 2016. Available from: https://sid.ir/paper/938541/en

IEEE: Copy

ALI BARZANOUNI, “RELATION BETWEEN ALGEBRAIC PROPERTIES AND DYNAMICAL PROPERTIES OF GROUP ACTIONS,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938541/en

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