ON THE CHARACTERIZATION OF SIMPLE GROUPS BN(Q) AND CN(Q)

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AHANJIDEH N.; IRANMANESH A.

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Seminar Paper

Paper Information

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

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Title

ON THE CHARACTERIZATION OF SIMPLE GROUPS BN(Q) AND CN(Q)

Author(s)

AHANJIDEH N. | IRANMANESH A.

Keywords

SYLOW SUBGROUP

CLASSICAL GROUPS

SIMPLE GROUP OF LIE TYPE

CHARACTERIZATION

IRREDUCIBLE LINEAR GROUP

SOLVABLE SUBGROUPS

HALL SUBGROUP

FITTING SUBGROUP

Abstract

LET G BE A FINITE GROUP AND P(G) BE THE SET OF PRIME DIVISORS OF THE ORDER OF G. FOR TÎP(G) DENOTE BY NT(G) THE ORDER OF A NORMALIZE OF T- SYLOW SUBGROUP OF G AND PUT N(G)={NT(G) | TÎP(G)}. IN THIS TALK, WE DISCUSS ABOUT AN ANSWER TO THE FOLLOWING PROBLEM FOR THE SIMPLE GROUPS OF LIE TYPE BN, CN: LET L BE A FINITE NON-ABELIAN SIMPLE GROUP AND G BE A FINITE GROUP WITH N(L)=N(G). IS IT TRUE THAT L@G?ALSO, WE DISCUSS ABOUT DIFFERENCE BETWEEN ORDERS OF THE SOLVABLE SUBGROUPS OF THE NON-ISOMORPHIC SIMPLE GROUPS BN(Q) AND CN(Q).

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APA: Copy

AHANJIDEH, N., & IRANMANESH, A.. (2009). ON THE CHARACTERIZATION OF SIMPLE GROUPS B_N(Q) AND C_N(Q). IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904406/en

Vancouver: Copy

AHANJIDEH N., IRANMANESH A.. ON THE CHARACTERIZATION OF SIMPLE GROUPS B_N(Q) AND C_N(Q). 2009. Available from: https://sid.ir/paper/904406/en

IEEE: Copy

N. AHANJIDEH, and A. IRANMANESH, “ON THE CHARACTERIZATION OF SIMPLE GROUPS B_N(Q) AND C_N(Q),” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904406/en

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