By Jack H. Smith

Nicknamed the 'Unicorns', the 359th FG used to be one of many final teams to reach within the united kingdom for carrier within the ETO with the 8th Air strength. First seeing motion on thirteen December 1943, the gang firstly flew bomber escort sweeps in P-47s, ahead of changing to the ever present P-51 in March/April 1944. all through its time within the ETO, the 359th used to be credited with the destruction of 351 enemy plane destroyed among December 1943 and should 1945. The exploits of all 12 aces created by way of the gang are specific, in addition to the main major missions flown. This e-book additionally discusses many of the markings worn by means of the group's 3 squadrons, the 368th, 369th and 370th FSs

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**Example text**

The subgroups group. , and c o r r e s p o n d i n g K inequiwith M r , underlying matrix represen- ~r. Then each irreducible K-representation of G* is of the form F* := F I with representation M* := M I The u n d e r l y i n g ~... ~ F n =: ~ Fi, i where Vi ~... ~ M n =: vector denotes IF I Fr I module ~ Mi, i space where M i := M j, if is V* := V I @ K ' ' ' ~ where Fi the u n d e r l y i n g vector Vn =: | Vi ' i space of M i. F i = F J. 27 If nj denotes the number of factors equal to Fj 9 for Fi of F*, which are Sn( ~ H) consisting 1 < j < r, then m TF* := (n I .....

It is in fact known have character field for these presentations inequivalent tables over (cs I would like to show this directly system of pairwise S2~Snn A2 that Weyl Z, even that Curtis/Benson by constructing and irreducible may [I]). a complete ordinary re- of these groups. For this we need only construct tions of selfassociated with the normal subgroup the two irreducible the constituents representations of of the restric- $2~S n. 27 (alp) ~ S2~An, can be o b t a i n e d sentations where a = a' as r e p r e s e n t a t i o n s induced of a suitable subgroup To do this we first a p p l y in order to c o n s t r u c t representations.

These results together with the results of section conjugacy classes of ter table of S2%A n S2~A n 1 about the allow the evaluation of the charac- (which in general contains complex numbers). What can be said about the characters of $2~S n ? A2 It is known, that their values are rational integral. like to derive this)using the above results. 39 (ala) ~ S2~SnA 2 say as representations induced by certain representations of suitable subgroups. 40 $2" 0 S2~SnA 2 = {(f;ISn ) I ~ f ( i ) i = IS2} _< $2~S hA2.