ON SOME AUTOMORPHISMS OF A FINITE P-GROUP CENTRALIZING THE FRATTINI QUOTIENT

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SOLEYMANI R.

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

ON SOME AUTOMORPHISMS OF A FINITE P-GROUP CENTRALIZING THE FRATTINI QUOTIENT

Author(s)

SOLEYMANI R.

Keywords

FINITE P-GROUP

AUTOMORPHISM GROUP

Abstract

LET G BE A GROUP AND LET AUTF(G) DENOTE THE GROUP OF ALL AUTOMORPHISMS OF G CENTRALIZING G/F(G) ELEMENT WISE. IN THIS PAPER, WE FIRST CHARACTERIZE THE FINITE P-GROUPS G WITH CYCLIC FRATTINI SUBGROUP FOR WHICH |AUTF(G):INN(G)|=P. WE THEN GIVE A NECESSARY AND SUFFICIENT CONDITION ON A FINITE P-GROUP G FOR THE GROUP AUTF(G) TO BE ELEMENTARY ABELIAN.

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APA: Copy

SOLEYMANI, R.. (2009). ON SOME AUTOMORPHISMS OF A FINITE P-GROUP CENTRALIZING THE FRATTINI QUOTIENT. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904463/en

Vancouver: Copy

SOLEYMANI R.. ON SOME AUTOMORPHISMS OF A FINITE P-GROUP CENTRALIZING THE FRATTINI QUOTIENT. 2009. Available from: https://sid.ir/paper/904463/en

IEEE: Copy

R. SOLEYMANI, “ON SOME AUTOMORPHISMS OF A FINITE P-GROUP CENTRALIZING THE FRATTINI QUOTIENT,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904463/en

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