ON RATIONAL 2-GROUPS AND THEIR NILPOTENCY CLASSES

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JAFARI SAEID; Sharifi Hesam

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Seminar Paper

Paper Information

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

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Information Seminar Paper

Title

ON RATIONAL 2-GROUPS AND THEIR NILPOTENCY CLASSES

Author(s)

JAFARI SAEID | Sharifi Hesam

Keywords

RATIONAL GROUP

SYLOW SUBGROUP

NILPOTENCY CLASS

Abstract

A FINITE GROUP G IS CALLED A RATIONAL GROUP IF ALL THE GENERATORS OF EVERY CYCLIC SUBGROUP OF G ARE CONJUGATE. IN THIS ARTICLE WE DISCUSS ABOUT NILPOTENCY CLASS OF RATIONAL 2-GROUPS AND WE GIVE AN UPPER BOUND FOR NILPOTENCY CLASS OF A RATIONAL GROUPG OF ORDER 2N. FURTHERMORE WE SHOW THAT AN IRREDUCIBLE CHARACTERC OF A RATIONAL 2-GROUP G DOES NOT APPEAR AS A CONSTITUENT OF CHARACTER C2 EXCEPT FOR C=1G, THE PRINCIPAL CHARACTER OF G.

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APA: Copy

JAFARI, SAEID, & Sharifi, Hesam. (2016). ON RATIONAL 2-GROUPS AND THEIR NILPOTENCY CLASSES. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938671/en

Vancouver: Copy

JAFARI SAEID, Sharifi Hesam. ON RATIONAL 2-GROUPS AND THEIR NILPOTENCY CLASSES. 2016. Available from: https://sid.ir/paper/938671/en

IEEE: Copy

SAEID JAFARI, and Hesam Sharifi, “ON RATIONAL 2-GROUPS AND THEIR NILPOTENCY CLASSES,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938671/en

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