36. DERECEDEN GRUPLARIN CATl - GRUPLARININ GAP KULLANILARAK SIRALANMASIl

Bu calismada cat' gruplart ve caprazlanmis modullerihesaplayabilmek icin, grup teorisi programlama dili olan GAP [II} program Iile yazdtgtmtz bir program paketini [2} sunduk. Bu programda caprazlanmtsmodiiller ve cat' - gruplarin morjizmlerinin yam sira bu morfizimlerinbileskesini iceren fonksiyonlar yer almaktadir. Aynca paket icerisindecaprazlanmts modullerin derivation 'u ve bir cat' - grup 'un section'imdayerlestirmis bulunmaktaytz. Caprazlanmis modullerin kategorisi XMod ilecat' - gruplartn kategorisi Catl arasindaki esdegerlik bagtnttstntgerceklestirecek olan funktorlar da yer almaktadir. Ek olarak bu caltsma,dereceleri 36 olan gruplarin cat I - gruplarinin izomorfirmlerin tablo halindestralanmasint icermektedir. Kucuk dereceden gruplartn cat I - gruplartntnizomorjizmleri [l) de verilmistir. 41-47. dereceden gruplarin ca/-grup 'lartntn izomorjizmleri de [3} de verilmistir.

Anahtar Kelimeler:

Caprazlanmts modul, Derivation, Actor, Catl - grup, GAP, Lue, Norrie

Keywords:

Crossed Module, Derivation, Actor, Catl - group, GAP, Lue, Norrie,

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